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Finding the Fourth Proportional to 14,646.56, 21,972.85 and 5,882.15

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Solution

The fourth proportional to 14,646.56, 21,972.85 and 5,882.15 is: 8,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.56 : 21,972.85 = 5,882.15 : x
  2. Step 2: Convert to fraction form
    14,646.56/21,972.85 = 5,882.15/x
  3. Step 3: Cross multiply
    14,646.56x = 21,972.85 × 5,882.15
  4. Step 4: Simplify right side
    14,646.56x = 129,247,639.85
  5. Step 5: Solve for x
    x = 129,247,639.85/14,646.56
  6. Step 6: Final answer
    x = 8,824.44

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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.