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Finding the Fourth Proportional to 16,770.65, 23,143.93 and 9,697.52

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Solution

The fourth proportional to 16,770.65, 23,143.93 and 9,697.52 is: 13,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.65 : 23,143.93 = 9,697.52 : x
  2. Step 2: Convert to fraction form
    16,770.65/23,143.93 = 9,697.52/x
  3. Step 3: Cross multiply
    16,770.65x = 23,143.93 × 9,697.52
  4. Step 4: Simplify right side
    16,770.65x = 224,438,757.67
  5. Step 5: Solve for x
    x = 224,438,757.67/16,770.65
  6. Step 6: Final answer
    x = 13,382.83

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Why These Related Problems?

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