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Finding the Fourth Proportional to 16,349.96, 22,562.26 and 9,276.77

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Solution

The fourth proportional to 16,349.96, 22,562.26 and 9,276.77 is: 12,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.96 : 22,562.26 = 9,276.77 : x
  2. Step 2: Convert to fraction form
    16,349.96/22,562.26 = 9,276.77/x
  3. Step 3: Cross multiply
    16,349.96x = 22,562.26 × 9,276.77
  4. Step 4: Simplify right side
    16,349.96x = 209,304,760.70
  5. Step 5: Solve for x
    x = 209,304,760.70/16,349.96
  6. Step 6: Final answer
    x = 12,801.55

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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.