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Finding the Fourth Proportional to 16,454.12, 24,681.65 and 6,458.45

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Solution

The fourth proportional to 16,454.12, 24,681.65 and 6,458.45 is: 9,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.12 : 24,681.65 = 6,458.45 : x
  2. Step 2: Convert to fraction form
    16,454.12/24,681.65 = 6,458.45/x
  3. Step 3: Cross multiply
    16,454.12x = 24,681.65 × 6,458.45
  4. Step 4: Simplify right side
    16,454.12x = 159,405,046.74
  5. Step 5: Solve for x
    x = 159,405,046.74/16,454.12
  6. Step 6: Final answer
    x = 9,687.85

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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.