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Finding the Fourth Proportional to 16,711.47, 23,062.32 and 9,158.46

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Solution

The fourth proportional to 16,711.47, 23,062.32 and 9,158.46 is: 12,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.47 : 23,062.32 = 9,158.46 : x
  2. Step 2: Convert to fraction form
    16,711.47/23,062.32 = 9,158.46/x
  3. Step 3: Cross multiply
    16,711.47x = 23,062.32 × 9,158.46
  4. Step 4: Simplify right side
    16,711.47x = 211,215,335.23
  5. Step 5: Solve for x
    x = 211,215,335.23/16,711.47
  6. Step 6: Final answer
    x = 12,638.94

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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.