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Finding the Fourth Proportional to 23,824.18, 35,711.04 and 8,014.16

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Solution

The fourth proportional to 23,824.18, 35,711.04 and 8,014.16 is: 12,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.18 : 35,711.04 = 8,014.16 : x
  2. Step 2: Convert to fraction form
    23,824.18/35,711.04 = 8,014.16/x
  3. Step 3: Cross multiply
    23,824.18x = 35,711.04 × 8,014.16
  4. Step 4: Simplify right side
    23,824.18x = 286,193,988.33
  5. Step 5: Solve for x
    x = 286,193,988.33/23,824.18
  6. Step 6: Final answer
    x = 12,012.75

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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.