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Finding the Fourth Proportional to 27,141.21, 40,711.91 and 9,611.55

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Solution

The fourth proportional to 27,141.21, 40,711.91 and 9,611.55 is: 14,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.21 : 40,711.91 = 9,611.55 : x
  2. Step 2: Convert to fraction form
    27,141.21/40,711.91 = 9,611.55/x
  3. Step 3: Cross multiply
    27,141.21x = 40,711.91 × 9,611.55
  4. Step 4: Simplify right side
    27,141.21x = 391,304,510.50
  5. Step 5: Solve for x
    x = 391,304,510.50/27,141.21
  6. Step 6: Final answer
    x = 14,417.36

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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.