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Finding the Fourth Proportional to 14,702.12, 20,287.32 and 8,414.84

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Solution

The fourth proportional to 14,702.12, 20,287.32 and 8,414.84 is: 11,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.12 : 20,287.32 = 8,414.84 : x
  2. Step 2: Convert to fraction form
    14,702.12/20,287.32 = 8,414.84/x
  3. Step 3: Cross multiply
    14,702.12x = 20,287.32 × 8,414.84
  4. Step 4: Simplify right side
    14,702.12x = 170,714,551.83
  5. Step 5: Solve for x
    x = 170,714,551.83/14,702.12
  6. Step 6: Final answer
    x = 11,611.56

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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.