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Finding the Fourth Proportional to 22,775.87, 34,115.81 and 14,451.50

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Solution

The fourth proportional to 22,775.87, 34,115.81 and 14,451.50 is: 21,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.87 : 34,115.81 = 14,451.50 : x
  2. Step 2: Convert to fraction form
    22,775.87/34,115.81 = 14,451.50/x
  3. Step 3: Cross multiply
    22,775.87x = 34,115.81 × 14,451.50
  4. Step 4: Simplify right side
    22,775.87x = 493,024,385.38
  5. Step 5: Solve for x
    x = 493,024,385.38/22,775.87
  6. Step 6: Final answer
    x = 21,646.79

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Why These Related Problems?

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