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Finding the Fourth Proportional to 23,201.76, 34,763.76 and 12,781.92

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Solution

The fourth proportional to 23,201.76, 34,763.76 and 12,781.92 is: 19,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.76 : 34,763.76 = 12,781.92 : x
  2. Step 2: Convert to fraction form
    23,201.76/34,763.76 = 12,781.92/x
  3. Step 3: Cross multiply
    23,201.76x = 34,763.76 × 12,781.92
  4. Step 4: Simplify right side
    23,201.76x = 444,347,599.22
  5. Step 5: Solve for x
    x = 444,347,599.22/23,201.76
  6. Step 6: Final answer
    x = 19,151.46

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1.5x scale

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.