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Finding the Fourth Proportional to 22,689.66, 34,034.49 and 7,108.50

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Solution

The fourth proportional to 22,689.66, 34,034.49 and 7,108.50 is: 10,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.66 : 34,034.49 = 7,108.50 : x
  2. Step 2: Convert to fraction form
    22,689.66/34,034.49 = 7,108.50/x
  3. Step 3: Cross multiply
    22,689.66x = 34,034.49 × 7,108.50
  4. Step 4: Simplify right side
    22,689.66x = 241,934,172.17
  5. Step 5: Solve for x
    x = 241,934,172.17/22,689.66
  6. Step 6: Final answer
    x = 10,662.75

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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.