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Finding the Fourth Proportional to 16,403.10, 24,589.52 and 6,540

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Solution

The fourth proportional to 16,403.10, 24,589.52 and 6,540 is: 9,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.10 : 24,589.52 = 6,540 : x
  2. Step 2: Convert to fraction form
    16,403.10/24,589.52 = 6,540/x
  3. Step 3: Cross multiply
    16,403.10x = 24,589.52 × 6,540
  4. Step 4: Simplify right side
    16,403.10x = 160,815,460.80
  5. Step 5: Solve for x
    x = 160,815,460.80/16,403.10
  6. Step 6: Final answer
    x = 9,803.97

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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.