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Finding the Fourth Proportional to 16,491.67, 24,740.97 and 5,397.50

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Solution

The fourth proportional to 16,491.67, 24,740.97 and 5,397.50 is: 8,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.67 : 24,740.97 = 5,397.50 : x
  2. Step 2: Convert to fraction form
    16,491.67/24,740.97 = 5,397.50/x
  3. Step 3: Cross multiply
    16,491.67x = 24,740.97 × 5,397.50
  4. Step 4: Simplify right side
    16,491.67x = 133,539,261.87
  5. Step 5: Solve for x
    x = 133,539,261.87/16,491.67
  6. Step 6: Final answer
    x = 8,097.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.