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Finding the Fourth Proportional to 16,542.56, 22,818.66 and 9,823.64

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Solution

The fourth proportional to 16,542.56, 22,818.66 and 9,823.64 is: 13,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.56 : 22,818.66 = 9,823.64 : x
  2. Step 2: Convert to fraction form
    16,542.56/22,818.66 = 9,823.64/x
  3. Step 3: Cross multiply
    16,542.56x = 22,818.66 × 9,823.64
  4. Step 4: Simplify right side
    16,542.56x = 224,162,301.12
  5. Step 5: Solve for x
    x = 224,162,301.12/16,542.56
  6. Step 6: Final answer
    x = 13,550.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.