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Finding the Fourth Proportional to 15,092.46, 22,632 and 8,071.14

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Solution

The fourth proportional to 15,092.46, 22,632 and 8,071.14 is: 12,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.46 : 22,632 = 8,071.14 : x
  2. Step 2: Convert to fraction form
    15,092.46/22,632 = 8,071.14/x
  3. Step 3: Cross multiply
    15,092.46x = 22,632 × 8,071.14
  4. Step 4: Simplify right side
    15,092.46x = 182,666,040.48
  5. Step 5: Solve for x
    x = 182,666,040.48/15,092.46
  6. Step 6: Final answer
    x = 12,103.13

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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.