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Finding the Fourth Proportional to 17,715.56, 24,445.94 and 9,755.80

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Solution

The fourth proportional to 17,715.56, 24,445.94 and 9,755.80 is: 13,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.56 : 24,445.94 = 9,755.80 : x
  2. Step 2: Convert to fraction form
    17,715.56/24,445.94 = 9,755.80/x
  3. Step 3: Cross multiply
    17,715.56x = 24,445.94 × 9,755.80
  4. Step 4: Simplify right side
    17,715.56x = 238,489,591.56
  5. Step 5: Solve for x
    x = 238,489,591.56/17,715.56
  6. Step 6: Final answer
    x = 13,462.16

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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.