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Finding the Fourth Proportional to 16,451.67, 22,701.56 and 9,737.58

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Solution

The fourth proportional to 16,451.67, 22,701.56 and 9,737.58 is: 13,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.67 : 22,701.56 = 9,737.58 : x
  2. Step 2: Convert to fraction form
    16,451.67/22,701.56 = 9,737.58/x
  3. Step 3: Cross multiply
    16,451.67x = 22,701.56 × 9,737.58
  4. Step 4: Simplify right side
    16,451.67x = 221,058,207.94
  5. Step 5: Solve for x
    x = 221,058,207.94/16,451.67
  6. Step 6: Final answer
    x = 13,436.82

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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.