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Finding the Fourth Proportional to 19,700.38, 27,191.19 and 11,321.74

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Solution

The fourth proportional to 19,700.38, 27,191.19 and 11,321.74 is: 15,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.38 : 27,191.19 = 11,321.74 : x
  2. Step 2: Convert to fraction form
    19,700.38/27,191.19 = 11,321.74/x
  3. Step 3: Cross multiply
    19,700.38x = 27,191.19 × 11,321.74
  4. Step 4: Simplify right side
    19,700.38x = 307,851,583.47
  5. Step 5: Solve for x
    x = 307,851,583.47/19,700.38
  6. Step 6: Final answer
    x = 15,626.68

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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.