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Finding the Fourth Proportional to 24,229, 36,343.50 and 7,813

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Solution

The fourth proportional to 24,229, 36,343.50 and 7,813 is: 11,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,229 : 36,343.50 = 7,813 : x
  2. Step 2: Convert to fraction form
    24,229/36,343.50 = 7,813/x
  3. Step 3: Cross multiply
    24,229x = 36,343.50 × 7,813
  4. Step 4: Simplify right side
    24,229x = 283,951,765.50
  5. Step 5: Solve for x
    x = 283,951,765.50/24,229
  6. Step 6: Final answer
    x = 11,719.50

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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.