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Finding the Fourth Proportional to 14,902.56, 22,341.96 and 9,642.96

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Solution

The fourth proportional to 14,902.56, 22,341.96 and 9,642.96 is: 14,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.56 : 22,341.96 = 9,642.96 : x
  2. Step 2: Convert to fraction form
    14,902.56/22,341.96 = 9,642.96/x
  3. Step 3: Cross multiply
    14,902.56x = 22,341.96 × 9,642.96
  4. Step 4: Simplify right side
    14,902.56x = 215,442,626.60
  5. Step 5: Solve for x
    x = 215,442,626.60/14,902.56
  6. Step 6: Final answer
    x = 14,456.75

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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.