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Finding the Fourth Proportional to 17,531,648.17, 24,194,209.88 and 9,797,016.49

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Solution

The fourth proportional to 17,531,648.17, 24,194,209.88 and 9,797,016.49 is: 13,520,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531,648.17 : 24,194,209.88 = 9,797,016.49 : x
  2. Step 2: Convert to fraction form
    17,531,648.17/24,194,209.88 = 9,797,016.49/x
  3. Step 3: Cross multiply
    17,531,648.17x = 24,194,209.88 × 9,797,016.49
  4. Step 4: Simplify right side
    17,531,648.17x = 237,031,073,120,887.97
  5. Step 5: Solve for x
    x = 237,031,073,120,887.97/17,531,648.17
  6. Step 6: Final answer
    x = 13,520,181.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.