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Finding the Fourth Proportional to 16,520.39, 24,718.47 and 9,832.22

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Solution

The fourth proportional to 16,520.39, 24,718.47 and 9,832.22 is: 14,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.39 : 24,718.47 = 9,832.22 : x
  2. Step 2: Convert to fraction form
    16,520.39/24,718.47 = 9,832.22/x
  3. Step 3: Cross multiply
    16,520.39x = 24,718.47 × 9,832.22
  4. Step 4: Simplify right side
    16,520.39x = 243,037,367.33
  5. Step 5: Solve for x
    x = 243,037,367.33/16,520.39
  6. Step 6: Final answer
    x = 14,711.36

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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.