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Finding the Fourth Proportional to 16,101.60, 24,145.92 and 6,735.52

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Solution

The fourth proportional to 16,101.60, 24,145.92 and 6,735.52 is: 10,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.60 : 24,145.92 = 6,735.52 : x
  2. Step 2: Convert to fraction form
    16,101.60/24,145.92 = 6,735.52/x
  3. Step 3: Cross multiply
    16,101.60x = 24,145.92 × 6,735.52
  4. Step 4: Simplify right side
    16,101.60x = 162,635,327.08
  5. Step 5: Solve for x
    x = 162,635,327.08/16,101.60
  6. Step 6: Final answer
    x = 10,100.57

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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.