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Finding the Fourth Proportional to 16,454.48, 24,684.06 and 6,065.42

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Solution

The fourth proportional to 16,454.48, 24,684.06 and 6,065.42 is: 9,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.48 : 24,684.06 = 6,065.42 : x
  2. Step 2: Convert to fraction form
    16,454.48/24,684.06 = 6,065.42/x
  3. Step 3: Cross multiply
    16,454.48x = 24,684.06 × 6,065.42
  4. Step 4: Simplify right side
    16,454.48x = 149,719,191.21
  5. Step 5: Solve for x
    x = 149,719,191.21/16,454.48
  6. Step 6: Final answer
    x = 9,098.99

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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.