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Finding the Fourth Proportional to 17,711.72, 24,443.78 and 9,755.56

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Solution

The fourth proportional to 17,711.72, 24,443.78 and 9,755.56 is: 13,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.72 : 24,443.78 = 9,755.56 : x
  2. Step 2: Convert to fraction form
    17,711.72/24,443.78 = 9,755.56/x
  3. Step 3: Cross multiply
    17,711.72x = 24,443.78 × 9,755.56
  4. Step 4: Simplify right side
    17,711.72x = 238,462,762.42
  5. Step 5: Solve for x
    x = 238,462,762.42/17,711.72
  6. Step 6: Final answer
    x = 13,463.56

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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.