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Finding the Fourth Proportional to 15,165.93, 22,706.91 and 7,754.43

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Solution

The fourth proportional to 15,165.93, 22,706.91 and 7,754.43 is: 11,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.93 : 22,706.91 = 7,754.43 : x
  2. Step 2: Convert to fraction form
    15,165.93/22,706.91 = 7,754.43/x
  3. Step 3: Cross multiply
    15,165.93x = 22,706.91 × 7,754.43
  4. Step 4: Simplify right side
    15,165.93x = 176,079,144.11
  5. Step 5: Solve for x
    x = 176,079,144.11/15,165.93
  6. Step 6: Final answer
    x = 11,610.18

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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.