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Finding the Fourth Proportional to 23,161.76, 34,743.24 and 7,366.89

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Solution

The fourth proportional to 23,161.76, 34,743.24 and 7,366.89 is: 11,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.76 : 34,743.24 = 7,366.89 : x
  2. Step 2: Convert to fraction form
    23,161.76/34,743.24 = 7,366.89/x
  3. Step 3: Cross multiply
    23,161.76x = 34,743.24 × 7,366.89
  4. Step 4: Simplify right side
    23,161.76x = 255,949,627.32
  5. Step 5: Solve for x
    x = 255,949,627.32/23,161.76
  6. Step 6: Final answer
    x = 11,050.53

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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.