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Finding the Fourth Proportional to 23,140.52, 34,728.60 and 12,050

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Solution

The fourth proportional to 23,140.52, 34,728.60 and 12,050 is: 18,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140.52 : 34,728.60 = 12,050 : x
  2. Step 2: Convert to fraction form
    23,140.52/34,728.60 = 12,050/x
  3. Step 3: Cross multiply
    23,140.52x = 34,728.60 × 12,050
  4. Step 4: Simplify right side
    23,140.52x = 418,479,630
  5. Step 5: Solve for x
    x = 418,479,630/23,140.52
  6. Step 6: Final answer
    x = 18,084.28

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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.