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Finding the Fourth Proportional to 24,206.31, 36,318.33 and 7,567.56

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Solution

The fourth proportional to 24,206.31, 36,318.33 and 7,567.56 is: 11,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.31 : 36,318.33 = 7,567.56 : x
  2. Step 2: Convert to fraction form
    24,206.31/36,318.33 = 7,567.56/x
  3. Step 3: Cross multiply
    24,206.31x = 36,318.33 × 7,567.56
  4. Step 4: Simplify right side
    24,206.31x = 274,841,141.37
  5. Step 5: Solve for x
    x = 274,841,141.37/24,206.31
  6. Step 6: Final answer
    x = 11,354.11

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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.