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Finding the Fourth Proportional to 23,200, 34,771.48 and 10,702.68

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Solution

The fourth proportional to 23,200, 34,771.48 and 10,702.68 is: 16,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200 : 34,771.48 = 10,702.68 : x
  2. Step 2: Convert to fraction form
    23,200/34,771.48 = 10,702.68/x
  3. Step 3: Cross multiply
    23,200x = 34,771.48 × 10,702.68
  4. Step 4: Simplify right side
    23,200x = 372,148,023.57
  5. Step 5: Solve for x
    x = 372,148,023.57/23,200
  6. Step 6: Final answer
    x = 16,040.86

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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.