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Finding the Fourth Proportional to 26,113.60, 39,103.96 and 14,414

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Solution

The fourth proportional to 26,113.60, 39,103.96 and 14,414 is: 21,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,113.60 : 39,103.96 = 14,414 : x
  2. Step 2: Convert to fraction form
    26,113.60/39,103.96 = 14,414/x
  3. Step 3: Cross multiply
    26,113.60x = 39,103.96 × 14,414
  4. Step 4: Simplify right side
    26,113.60x = 563,644,479.44
  5. Step 5: Solve for x
    x = 563,644,479.44/26,113.60
  6. Step 6: Final answer
    x = 21,584.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.