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Finding the Fourth Proportional to 23,822.17, 35,708.05 and 8,012.15

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Solution

The fourth proportional to 23,822.17, 35,708.05 and 8,012.15 is: 12,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.17 : 35,708.05 = 8,012.15 : x
  2. Step 2: Convert to fraction form
    23,822.17/35,708.05 = 8,012.15/x
  3. Step 3: Cross multiply
    23,822.17x = 35,708.05 × 8,012.15
  4. Step 4: Simplify right side
    23,822.17x = 286,098,212.75
  5. Step 5: Solve for x
    x = 286,098,212.75/23,822.17
  6. Step 6: Final answer
    x = 12,009.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.