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Finding the Fourth Proportional to 17,045.38, 23,519.82 and 9,491.52

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Solution

The fourth proportional to 17,045.38, 23,519.82 and 9,491.52 is: 13,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,045.38 : 23,519.82 = 9,491.52 : x
  2. Step 2: Convert to fraction form
    17,045.38/23,519.82 = 9,491.52/x
  3. Step 3: Cross multiply
    17,045.38x = 23,519.82 × 9,491.52
  4. Step 4: Simplify right side
    17,045.38x = 223,238,841.93
  5. Step 5: Solve for x
    x = 223,238,841.93/17,045.38
  6. Step 6: Final answer
    x = 13,096.74

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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.