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Finding the Fourth Proportional to 16,281.46, 24,405.72 and 6,427.68

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Solution

The fourth proportional to 16,281.46, 24,405.72 and 6,427.68 is: 9,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.46 : 24,405.72 = 6,427.68 : x
  2. Step 2: Convert to fraction form
    16,281.46/24,405.72 = 6,427.68/x
  3. Step 3: Cross multiply
    16,281.46x = 24,405.72 × 6,427.68
  4. Step 4: Simplify right side
    16,281.46x = 156,872,158.33
  5. Step 5: Solve for x
    x = 156,872,158.33/16,281.46
  6. Step 6: Final answer
    x = 9,635.02

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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.