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Finding the Fourth Proportional to 15,488.52, 21,374.36 and 8,414.88

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Solution

The fourth proportional to 15,488.52, 21,374.36 and 8,414.88 is: 11,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488.52 : 21,374.36 = 8,414.88 : x
  2. Step 2: Convert to fraction form
    15,488.52/21,374.36 = 8,414.88/x
  3. Step 3: Cross multiply
    15,488.52x = 21,374.36 × 8,414.88
  4. Step 4: Simplify right side
    15,488.52x = 179,862,674.48
  5. Step 5: Solve for x
    x = 179,862,674.48/15,488.52
  6. Step 6: Final answer
    x = 11,612.64

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