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Finding the Fourth Proportional to 14,979.22, 22,471.71 and 5,744.50

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Solution

The fourth proportional to 14,979.22, 22,471.71 and 5,744.50 is: 8,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,979.22 : 22,471.71 = 5,744.50 : x
  2. Step 2: Convert to fraction form
    14,979.22/22,471.71 = 5,744.50/x
  3. Step 3: Cross multiply
    14,979.22x = 22,471.71 × 5,744.50
  4. Step 4: Simplify right side
    14,979.22x = 129,088,738.10
  5. Step 5: Solve for x
    x = 129,088,738.10/14,979.22
  6. Step 6: Final answer
    x = 8,617.85

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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.