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Finding the Fourth Proportional to 16,713.78, 23,059.32 and 9,538.55

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Solution

The fourth proportional to 16,713.78, 23,059.32 and 9,538.55 is: 13,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.78 : 23,059.32 = 9,538.55 : x
  2. Step 2: Convert to fraction form
    16,713.78/23,059.32 = 9,538.55/x
  3. Step 3: Cross multiply
    16,713.78x = 23,059.32 × 9,538.55
  4. Step 4: Simplify right side
    16,713.78x = 219,952,476.79
  5. Step 5: Solve for x
    x = 219,952,476.79/16,713.78
  6. Step 6: Final answer
    x = 13,159.95

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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.