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Finding the Fourth Proportional to 17,885.18, 24,680.38 and 9,927.40

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Solution

The fourth proportional to 17,885.18, 24,680.38 and 9,927.40 is: 13,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.18 : 24,680.38 = 9,927.40 : x
  2. Step 2: Convert to fraction form
    17,885.18/24,680.38 = 9,927.40/x
  3. Step 3: Cross multiply
    17,885.18x = 24,680.38 × 9,927.40
  4. Step 4: Simplify right side
    17,885.18x = 245,012,004.41
  5. Step 5: Solve for x
    x = 245,012,004.41/17,885.18
  6. Step 6: Final answer
    x = 13,699.16

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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.