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Finding the Fourth Proportional to 23,870.53, 35,805.84 and 8,288.20

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Solution

The fourth proportional to 23,870.53, 35,805.84 and 8,288.20 is: 12,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.53 : 35,805.84 = 8,288.20 : x
  2. Step 2: Convert to fraction form
    23,870.53/35,805.84 = 8,288.20/x
  3. Step 3: Cross multiply
    23,870.53x = 35,805.84 × 8,288.20
  4. Step 4: Simplify right side
    23,870.53x = 296,765,963.09
  5. Step 5: Solve for x
    x = 296,765,963.09/23,870.53
  6. Step 6: Final answer
    x = 12,432.32

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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.