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Finding the Fourth Proportional to 17,781.62, 24,538.68 and 9,715.37

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Solution

The fourth proportional to 17,781.62, 24,538.68 and 9,715.37 is: 13,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.62 : 24,538.68 = 9,715.37 : x
  2. Step 2: Convert to fraction form
    17,781.62/24,538.68 = 9,715.37/x
  3. Step 3: Cross multiply
    17,781.62x = 24,538.68 × 9,715.37
  4. Step 4: Simplify right side
    17,781.62x = 238,402,232.82
  5. Step 5: Solve for x
    x = 238,402,232.82/17,781.62
  6. Step 6: Final answer
    x = 13,407.23

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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.