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Finding the Fourth Proportional to 16,034.68, 24,047.46 and 6,166.72

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Solution

The fourth proportional to 16,034.68, 24,047.46 and 6,166.72 is: 9,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.68 : 24,047.46 = 6,166.72 : x
  2. Step 2: Convert to fraction form
    16,034.68/24,047.46 = 6,166.72/x
  3. Step 3: Cross multiply
    16,034.68x = 24,047.46 × 6,166.72
  4. Step 4: Simplify right side
    16,034.68x = 148,293,952.53
  5. Step 5: Solve for x
    x = 148,293,952.53/16,034.68
  6. Step 6: Final answer
    x = 9,248.33

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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.