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Finding the Fourth Proportional to 38,447.60, 57,697.50 and 13,487.44

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Solution

The fourth proportional to 38,447.60, 57,697.50 and 13,487.44 is: 20,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447.60 : 57,697.50 = 13,487.44 : x
  2. Step 2: Convert to fraction form
    38,447.60/57,697.50 = 13,487.44/x
  3. Step 3: Cross multiply
    38,447.60x = 57,697.50 × 13,487.44
  4. Step 4: Simplify right side
    38,447.60x = 778,191,569.40
  5. Step 5: Solve for x
    x = 778,191,569.40/38,447.60
  6. Step 6: Final answer
    x = 20,240.32

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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.