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Finding the Fourth Proportional to 13,929.20, 20,893.80 and 5,165.68

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Solution

The fourth proportional to 13,929.20, 20,893.80 and 5,165.68 is: 7,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.20 : 20,893.80 = 5,165.68 : x
  2. Step 2: Convert to fraction form
    13,929.20/20,893.80 = 5,165.68/x
  3. Step 3: Cross multiply
    13,929.20x = 20,893.80 × 5,165.68
  4. Step 4: Simplify right side
    13,929.20x = 107,930,684.78
  5. Step 5: Solve for x
    x = 107,930,684.78/13,929.20
  6. Step 6: Final answer
    x = 7,748.52

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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.