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Finding the Fourth Proportional to 24,787.64, 37,182.08 and 8,147.00

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Solution

The fourth proportional to 24,787.64, 37,182.08 and 8,147.00 is: 12,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.64 : 37,182.08 = 8,147.00 : x
  2. Step 2: Convert to fraction form
    24,787.64/37,182.08 = 8,147.00/x
  3. Step 3: Cross multiply
    24,787.64x = 37,182.08 × 8,147.00
  4. Step 4: Simplify right side
    24,787.64x = 302,922,519.08
  5. Step 5: Solve for x
    x = 302,922,519.08/24,787.64
  6. Step 6: Final answer
    x = 12,220.71

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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.