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Finding the Fourth Proportional to 23,488.74, 32,414.45 and 12,878.55

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Solution

The fourth proportional to 23,488.74, 32,414.45 and 12,878.55 is: 17,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.74 : 32,414.45 = 12,878.55 : x
  2. Step 2: Convert to fraction form
    23,488.74/32,414.45 = 12,878.55/x
  3. Step 3: Cross multiply
    23,488.74x = 32,414.45 × 12,878.55
  4. Step 4: Simplify right side
    23,488.74x = 417,451,050.65
  5. Step 5: Solve for x
    x = 417,451,050.65/23,488.74
  6. Step 6: Final answer
    x = 17,772.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.