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Finding the Fourth Proportional to 23,687.76, 35,531.76 and 9,836.76

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Solution

The fourth proportional to 23,687.76, 35,531.76 and 9,836.76 is: 14,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.76 : 35,531.76 = 9,836.76 : x
  2. Step 2: Convert to fraction form
    23,687.76/35,531.76 = 9,836.76/x
  3. Step 3: Cross multiply
    23,687.76x = 35,531.76 × 9,836.76
  4. Step 4: Simplify right side
    23,687.76x = 349,517,395.50
  5. Step 5: Solve for x
    x = 349,517,395.50/23,687.76
  6. Step 6: Final answer
    x = 14,755.19

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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.