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Finding the Fourth Proportional to 22,758.50, 34,137.70 and 6,118.53

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Solution

The fourth proportional to 22,758.50, 34,137.70 and 6,118.53 is: 9,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.50 : 34,137.70 = 6,118.53 : x
  2. Step 2: Convert to fraction form
    22,758.50/34,137.70 = 6,118.53/x
  3. Step 3: Cross multiply
    22,758.50x = 34,137.70 × 6,118.53
  4. Step 4: Simplify right side
    22,758.50x = 208,872,541.58
  5. Step 5: Solve for x
    x = 208,872,541.58/22,758.50
  6. Step 6: Final answer
    x = 9,177.78

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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.