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Finding the Fourth Proportional to 17,572.14, 24,248.70 and 9,614.16

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Solution

The fourth proportional to 17,572.14, 24,248.70 and 9,614.16 is: 13,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572.14 : 24,248.70 = 9,614.16 : x
  2. Step 2: Convert to fraction form
    17,572.14/24,248.70 = 9,614.16/x
  3. Step 3: Cross multiply
    17,572.14x = 24,248.70 × 9,614.16
  4. Step 4: Simplify right side
    17,572.14x = 233,130,881.59
  5. Step 5: Solve for x
    x = 233,130,881.59/17,572.14
  6. Step 6: Final answer
    x = 13,267.07

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