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Finding the Fourth Proportional to 16,488.74, 24,735.14 and 5,392.56

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Solution

The fourth proportional to 16,488.74, 24,735.14 and 5,392.56 is: 8,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.74 : 24,735.14 = 5,392.56 : x
  2. Step 2: Convert to fraction form
    16,488.74/24,735.14 = 5,392.56/x
  3. Step 3: Cross multiply
    16,488.74x = 24,735.14 × 5,392.56
  4. Step 4: Simplify right side
    16,488.74x = 133,385,726.56
  5. Step 5: Solve for x
    x = 133,385,726.56/16,488.74
  6. Step 6: Final answer
    x = 8,089.50

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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.