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Finding the Fourth Proportional to 15,517.81, 21,414.54 and 8,444.19

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Solution

The fourth proportional to 15,517.81, 21,414.54 and 8,444.19 is: 11,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,517.81 : 21,414.54 = 8,444.19 : x
  2. Step 2: Convert to fraction form
    15,517.81/21,414.54 = 8,444.19/x
  3. Step 3: Cross multiply
    15,517.81x = 21,414.54 × 8,444.19
  4. Step 4: Simplify right side
    15,517.81x = 180,828,444.52
  5. Step 5: Solve for x
    x = 180,828,444.52/15,517.81
  6. Step 6: Final answer
    x = 11,652.96

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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.