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Finding the Fourth Proportional to 16,262.32, 24,376.74 and 6,397.60

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Solution

The fourth proportional to 16,262.32, 24,376.74 and 6,397.60 is: 9,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.32 : 24,376.74 = 6,397.60 : x
  2. Step 2: Convert to fraction form
    16,262.32/24,376.74 = 6,397.60/x
  3. Step 3: Cross multiply
    16,262.32x = 24,376.74 × 6,397.60
  4. Step 4: Simplify right side
    16,262.32x = 155,952,631.82
  5. Step 5: Solve for x
    x = 155,952,631.82/16,262.32
  6. Step 6: Final answer
    x = 9,589.81

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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.