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Finding the Fourth Proportional to 16,449.14, 24,673.80 and 6,585.68

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Solution

The fourth proportional to 16,449.14, 24,673.80 and 6,585.68 is: 9,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.14 : 24,673.80 = 6,585.68 : x
  2. Step 2: Convert to fraction form
    16,449.14/24,673.80 = 6,585.68/x
  3. Step 3: Cross multiply
    16,449.14x = 24,673.80 × 6,585.68
  4. Step 4: Simplify right side
    16,449.14x = 162,493,751.18
  5. Step 5: Solve for x
    x = 162,493,751.18/16,449.14
  6. Step 6: Final answer
    x = 9,878.56

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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.