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Finding the Fourth Proportional to 27,425.76, 41,132.22 and 7,706.20

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Solution

The fourth proportional to 27,425.76, 41,132.22 and 7,706.20 is: 11,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.76 : 41,132.22 = 7,706.20 : x
  2. Step 2: Convert to fraction form
    27,425.76/41,132.22 = 7,706.20/x
  3. Step 3: Cross multiply
    27,425.76x = 41,132.22 × 7,706.20
  4. Step 4: Simplify right side
    27,425.76x = 316,973,113.76
  5. Step 5: Solve for x
    x = 316,973,113.76/27,425.76
  6. Step 6: Final answer
    x = 11,557.50

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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.