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Finding the Fourth Proportional to 23,872.56, 35,808.76 and 8,290.32

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Solution

The fourth proportional to 23,872.56, 35,808.76 and 8,290.32 is: 12,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.56 : 35,808.76 = 8,290.32 : x
  2. Step 2: Convert to fraction form
    23,872.56/35,808.76 = 8,290.32/x
  3. Step 3: Cross multiply
    23,872.56x = 35,808.76 × 8,290.32
  4. Step 4: Simplify right side
    23,872.56x = 296,866,079.20
  5. Step 5: Solve for x
    x = 296,866,079.20/23,872.56
  6. Step 6: Final answer
    x = 12,435.45

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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.