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Finding the Fourth Proportional to 17,463.50, 24,102.95 and 9,910.53

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Solution

The fourth proportional to 17,463.50, 24,102.95 and 9,910.53 is: 13,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463.50 : 24,102.95 = 9,910.53 : x
  2. Step 2: Convert to fraction form
    17,463.50/24,102.95 = 9,910.53/x
  3. Step 3: Cross multiply
    17,463.50x = 24,102.95 × 9,910.53
  4. Step 4: Simplify right side
    17,463.50x = 238,872,959.51
  5. Step 5: Solve for x
    x = 238,872,959.51/17,463.50
  6. Step 6: Final answer
    x = 13,678.42

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1.5x scale

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.