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Finding the Fourth Proportional to 16,701.52, 23,047.92 and 9,147.82

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Solution

The fourth proportional to 16,701.52, 23,047.92 and 9,147.82 is: 12,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.52 : 23,047.92 = 9,147.82 : x
  2. Step 2: Convert to fraction form
    16,701.52/23,047.92 = 9,147.82/x
  3. Step 3: Cross multiply
    16,701.52x = 23,047.92 × 9,147.82
  4. Step 4: Simplify right side
    16,701.52x = 210,838,223.53
  5. Step 5: Solve for x
    x = 210,838,223.53/16,701.52
  6. Step 6: Final answer
    x = 12,623.89

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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.