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Finding the Fourth Proportional to 24,758.64, 37,139.58 and 7,227

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Solution

The fourth proportional to 24,758.64, 37,139.58 and 7,227 is: 10,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.64 : 37,139.58 = 7,227 : x
  2. Step 2: Convert to fraction form
    24,758.64/37,139.58 = 7,227/x
  3. Step 3: Cross multiply
    24,758.64x = 37,139.58 × 7,227
  4. Step 4: Simplify right side
    24,758.64x = 268,407,744.66
  5. Step 5: Solve for x
    x = 268,407,744.66/24,758.64
  6. Step 6: Final answer
    x = 10,840.97

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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.