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Finding the Fourth Proportional to 14,902.31, 22,356.71 and 4,514.87

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Solution

The fourth proportional to 14,902.31, 22,356.71 and 4,514.87 is: 6,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.31 : 22,356.71 = 4,514.87 : x
  2. Step 2: Convert to fraction form
    14,902.31/22,356.71 = 4,514.87/x
  3. Step 3: Cross multiply
    14,902.31x = 22,356.71 × 4,514.87
  4. Step 4: Simplify right side
    14,902.31x = 100,937,616.70
  5. Step 5: Solve for x
    x = 100,937,616.70/14,902.31
  6. Step 6: Final answer
    x = 6,773.29

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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.