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Finding the Fourth Proportional to 15,129.15, 20,877.93 and 8,414.63

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Solution

The fourth proportional to 15,129.15, 20,877.93 and 8,414.63 is: 11,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.15 : 20,877.93 = 8,414.63 : x
  2. Step 2: Convert to fraction form
    15,129.15/20,877.93 = 8,414.63/x
  3. Step 3: Cross multiply
    15,129.15x = 20,877.93 × 8,414.63
  4. Step 4: Simplify right side
    15,129.15x = 175,680,147.46
  5. Step 5: Solve for x
    x = 175,680,147.46/15,129.15
  6. Step 6: Final answer
    x = 11,612.03

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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.