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Finding the Fourth Proportional to 17,412.38, 24,028.68 and 9,454.53

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Solution

The fourth proportional to 17,412.38, 24,028.68 and 9,454.53 is: 13,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.38 : 24,028.68 = 9,454.53 : x
  2. Step 2: Convert to fraction form
    17,412.38/24,028.68 = 9,454.53/x
  3. Step 3: Cross multiply
    17,412.38x = 24,028.68 × 9,454.53
  4. Step 4: Simplify right side
    17,412.38x = 227,179,875.92
  5. Step 5: Solve for x
    x = 227,179,875.92/17,412.38
  6. Step 6: Final answer
    x = 13,047.04

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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.