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Finding the Fourth Proportional to 16,535.76, 24,807.24 and 5,442

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Solution

The fourth proportional to 16,535.76, 24,807.24 and 5,442 is: 8,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.76 : 24,807.24 = 5,442 : x
  2. Step 2: Convert to fraction form
    16,535.76/24,807.24 = 5,442/x
  3. Step 3: Cross multiply
    16,535.76x = 24,807.24 × 5,442
  4. Step 4: Simplify right side
    16,535.76x = 135,001,000.08
  5. Step 5: Solve for x
    x = 135,001,000.08/16,535.76
  6. Step 6: Final answer
    x = 8,164.18

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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.