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Finding the Fourth Proportional to 23,488.91, 32,414.65 and 12,878.52

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Solution

The fourth proportional to 23,488.91, 32,414.65 and 12,878.52 is: 17,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.91 : 32,414.65 = 12,878.52 : x
  2. Step 2: Convert to fraction form
    23,488.91/32,414.65 = 12,878.52/x
  3. Step 3: Cross multiply
    23,488.91x = 32,414.65 × 12,878.52
  4. Step 4: Simplify right side
    23,488.91x = 417,452,653.38
  5. Step 5: Solve for x
    x = 417,452,653.38/23,488.91
  6. Step 6: Final answer
    x = 17,772.33

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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.