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Finding the Fourth Proportional to 22,713.38, 34,070.37 and 7,131

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Solution

The fourth proportional to 22,713.38, 34,070.37 and 7,131 is: 10,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.38 : 34,070.37 = 7,131 : x
  2. Step 2: Convert to fraction form
    22,713.38/34,070.37 = 7,131/x
  3. Step 3: Cross multiply
    22,713.38x = 34,070.37 × 7,131
  4. Step 4: Simplify right side
    22,713.38x = 242,955,808.47
  5. Step 5: Solve for x
    x = 242,955,808.47/22,713.38
  6. Step 6: Final answer
    x = 10,696.60

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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.