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Finding the Fourth Proportional to 16,261.12, 24,385.92 and 6,400

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Solution

The fourth proportional to 16,261.12, 24,385.92 and 6,400 is: 9,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.12 : 24,385.92 = 6,400 : x
  2. Step 2: Convert to fraction form
    16,261.12/24,385.92 = 6,400/x
  3. Step 3: Cross multiply
    16,261.12x = 24,385.92 × 6,400
  4. Step 4: Simplify right side
    16,261.12x = 156,069,888
  5. Step 5: Solve for x
    x = 156,069,888/16,261.12
  6. Step 6: Final answer
    x = 9,597.73

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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.