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Finding the Fourth Proportional to 14,761.91, 22,135.57 and 6,438.32

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Solution

The fourth proportional to 14,761.91, 22,135.57 and 6,438.32 is: 9,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.91 : 22,135.57 = 6,438.32 : x
  2. Step 2: Convert to fraction form
    14,761.91/22,135.57 = 6,438.32/x
  3. Step 3: Cross multiply
    14,761.91x = 22,135.57 × 6,438.32
  4. Step 4: Simplify right side
    14,761.91x = 142,515,883.04
  5. Step 5: Solve for x
    x = 142,515,883.04/14,761.91
  6. Step 6: Final answer
    x = 9,654.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.