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Finding the Fourth Proportional to 16,292.71, 24,439.23 and 5,200.18

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Solution

The fourth proportional to 16,292.71, 24,439.23 and 5,200.18 is: 7,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.71 : 24,439.23 = 5,200.18 : x
  2. Step 2: Convert to fraction form
    16,292.71/24,439.23 = 5,200.18/x
  3. Step 3: Cross multiply
    16,292.71x = 24,439.23 × 5,200.18
  4. Step 4: Simplify right side
    16,292.71x = 127,088,395.06
  5. Step 5: Solve for x
    x = 127,088,395.06/16,292.71
  6. Step 6: Final answer
    x = 7,800.32

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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.