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Finding the Fourth Proportional to 23,859.76, 35,781.24 and 9,815.68

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Solution

The fourth proportional to 23,859.76, 35,781.24 and 9,815.68 is: 14,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859.76 : 35,781.24 = 9,815.68 : x
  2. Step 2: Convert to fraction form
    23,859.76/35,781.24 = 9,815.68/x
  3. Step 3: Cross multiply
    23,859.76x = 35,781.24 × 9,815.68
  4. Step 4: Simplify right side
    23,859.76x = 351,217,201.84
  5. Step 5: Solve for x
    x = 351,217,201.84/23,859.76
  6. Step 6: Final answer
    x = 14,720.06

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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.