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Finding the Fourth Proportional to 22,977.80, 34,472.70 and 7,395.80

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Solution

The fourth proportional to 22,977.80, 34,472.70 and 7,395.80 is: 11,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.80 : 34,472.70 = 7,395.80 : x
  2. Step 2: Convert to fraction form
    22,977.80/34,472.70 = 7,395.80/x
  3. Step 3: Cross multiply
    22,977.80x = 34,472.70 × 7,395.80
  4. Step 4: Simplify right side
    22,977.80x = 254,953,194.66
  5. Step 5: Solve for x
    x = 254,953,194.66/22,977.80
  6. Step 6: Final answer
    x = 11,095.63

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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.