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Finding the Fourth Proportional to 16,475.50, 24,710.63 and 5,382.10

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Solution

The fourth proportional to 16,475.50, 24,710.63 and 5,382.10 is: 8,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.50 : 24,710.63 = 5,382.10 : x
  2. Step 2: Convert to fraction form
    16,475.50/24,710.63 = 5,382.10/x
  3. Step 3: Cross multiply
    16,475.50x = 24,710.63 × 5,382.10
  4. Step 4: Simplify right side
    16,475.50x = 132,995,081.72
  5. Step 5: Solve for x
    x = 132,995,081.72/16,475.50
  6. Step 6: Final answer
    x = 8,072.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.