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Finding the Fourth Proportional to 16,338.64, 24,497.02 and 6,475.28

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Solution

The fourth proportional to 16,338.64, 24,497.02 and 6,475.28 is: 9,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.64 : 24,497.02 = 6,475.28 : x
  2. Step 2: Convert to fraction form
    16,338.64/24,497.02 = 6,475.28/x
  3. Step 3: Cross multiply
    16,338.64x = 24,497.02 × 6,475.28
  4. Step 4: Simplify right side
    16,338.64x = 158,625,063.67
  5. Step 5: Solve for x
    x = 158,625,063.67/16,338.64
  6. Step 6: Final answer
    x = 9,708.58

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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.