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Finding the Fourth Proportional to 24,541.05, 36,807.90 and 7,898.88

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Solution

The fourth proportional to 24,541.05, 36,807.90 and 7,898.88 is: 11,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541.05 : 36,807.90 = 7,898.88 : x
  2. Step 2: Convert to fraction form
    24,541.05/36,807.90 = 7,898.88/x
  3. Step 3: Cross multiply
    24,541.05x = 36,807.90 × 7,898.88
  4. Step 4: Simplify right side
    24,541.05x = 290,741,185.15
  5. Step 5: Solve for x
    x = 290,741,185.15/24,541.05
  6. Step 6: Final answer
    x = 11,847.14

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Why These Related Problems?

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