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Finding the Fourth Proportional to 16,338.69, 24,510.33 and 6,478.97

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Solution

The fourth proportional to 16,338.69, 24,510.33 and 6,478.97 is: 9,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.69 : 24,510.33 = 6,478.97 : x
  2. Step 2: Convert to fraction form
    16,338.69/24,510.33 = 6,478.97/x
  3. Step 3: Cross multiply
    16,338.69x = 24,510.33 × 6,478.97
  4. Step 4: Simplify right side
    16,338.69x = 158,801,570.21
  5. Step 5: Solve for x
    x = 158,801,570.21/16,338.69
  6. Step 6: Final answer
    x = 9,719.36

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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.