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Finding the Fourth Proportional to 22,724.71, 34,084.68 and 6,086.46

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Solution

The fourth proportional to 22,724.71, 34,084.68 and 6,086.46 is: 9,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.71 : 34,084.68 = 6,086.46 : x
  2. Step 2: Convert to fraction form
    22,724.71/34,084.68 = 6,086.46/x
  3. Step 3: Cross multiply
    22,724.71x = 34,084.68 × 6,086.46
  4. Step 4: Simplify right side
    22,724.71x = 207,455,041.43
  5. Step 5: Solve for x
    x = 207,455,041.43/22,724.71
  6. Step 6: Final answer
    x = 9,129.05

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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.