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Finding the Fourth Proportional to 21,414.66, 29,551.59 and 11,854.95

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Solution

The fourth proportional to 21,414.66, 29,551.59 and 11,854.95 is: 16,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.66 : 29,551.59 = 11,854.95 : x
  2. Step 2: Convert to fraction form
    21,414.66/29,551.59 = 11,854.95/x
  3. Step 3: Cross multiply
    21,414.66x = 29,551.59 × 11,854.95
  4. Step 4: Simplify right side
    21,414.66x = 350,332,621.87
  5. Step 5: Solve for x
    x = 350,332,621.87/21,414.66
  6. Step 6: Final answer
    x = 16,359.48

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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.