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Finding the Fourth Proportional to 22,876.02, 34,306.74 and 7,290

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Solution

The fourth proportional to 22,876.02, 34,306.74 and 7,290 is: 10,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.02 : 34,306.74 = 7,290 : x
  2. Step 2: Convert to fraction form
    22,876.02/34,306.74 = 7,290/x
  3. Step 3: Cross multiply
    22,876.02x = 34,306.74 × 7,290
  4. Step 4: Simplify right side
    22,876.02x = 250,096,134.60
  5. Step 5: Solve for x
    x = 250,096,134.60/22,876.02
  6. Step 6: Final answer
    x = 10,932.68

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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.