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Finding the Fourth Proportional to 22,775.37, 34,115.05 and 14,451

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Solution

The fourth proportional to 22,775.37, 34,115.05 and 14,451 is: 21,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.37 : 34,115.05 = 14,451 : x
  2. Step 2: Convert to fraction form
    22,775.37/34,115.05 = 14,451/x
  3. Step 3: Cross multiply
    22,775.37x = 34,115.05 × 14,451
  4. Step 4: Simplify right side
    22,775.37x = 492,996,587.55
  5. Step 5: Solve for x
    x = 492,996,587.55/22,775.37
  6. Step 6: Final answer
    x = 21,646.04

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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.