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Finding the Fourth Proportional to 16,275.69, 24,405.46 and 5,180.93

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Solution

The fourth proportional to 16,275.69, 24,405.46 and 5,180.93 is: 7,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.69 : 24,405.46 = 5,180.93 : x
  2. Step 2: Convert to fraction form
    16,275.69/24,405.46 = 5,180.93/x
  3. Step 3: Cross multiply
    16,275.69x = 24,405.46 × 5,180.93
  4. Step 4: Simplify right side
    16,275.69x = 126,443,063.99
  5. Step 5: Solve for x
    x = 126,443,063.99/16,275.69
  6. Step 6: Final answer
    x = 7,768.83

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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.