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Finding the Fourth Proportional to 14,702.40, 20,288.96 and 8,414.36

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Solution

The fourth proportional to 14,702.40, 20,288.96 and 8,414.36 is: 11,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.40 : 20,288.96 = 8,414.36 : x
  2. Step 2: Convert to fraction form
    14,702.40/20,288.96 = 8,414.36/x
  3. Step 3: Cross multiply
    14,702.40x = 20,288.96 × 8,414.36
  4. Step 4: Simplify right side
    14,702.40x = 170,718,613.47
  5. Step 5: Solve for x
    x = 170,718,613.47/14,702.40
  6. Step 6: Final answer
    x = 11,611.62

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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.