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Finding the Fourth Proportional to 16,488.32, 24,731.76 and 4,802

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Solution

The fourth proportional to 16,488.32, 24,731.76 and 4,802 is: 7,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.32 : 24,731.76 = 4,802 : x
  2. Step 2: Convert to fraction form
    16,488.32/24,731.76 = 4,802/x
  3. Step 3: Cross multiply
    16,488.32x = 24,731.76 × 4,802
  4. Step 4: Simplify right side
    16,488.32x = 118,761,911.52
  5. Step 5: Solve for x
    x = 118,761,911.52/16,488.32
  6. Step 6: Final answer
    x = 7,202.79

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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.