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Finding the Fourth Proportional to 22,977.90, 34,470.87 and 8,186.46

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Solution

The fourth proportional to 22,977.90, 34,470.87 and 8,186.46 is: 12,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.90 : 34,470.87 = 8,186.46 : x
  2. Step 2: Convert to fraction form
    22,977.90/34,470.87 = 8,186.46/x
  3. Step 3: Cross multiply
    22,977.90x = 34,470.87 × 8,186.46
  4. Step 4: Simplify right side
    22,977.90x = 282,194,398.42
  5. Step 5: Solve for x
    x = 282,194,398.42/22,977.90
  6. Step 6: Final answer
    x = 12,281.12

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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.