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Finding the Fourth Proportional to 22,842.05, 34,237.62 and 9,507.69

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Solution

The fourth proportional to 22,842.05, 34,237.62 and 9,507.69 is: 14,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.05 : 34,237.62 = 9,507.69 : x
  2. Step 2: Convert to fraction form
    22,842.05/34,237.62 = 9,507.69/x
  3. Step 3: Cross multiply
    22,842.05x = 34,237.62 × 9,507.69
  4. Step 4: Simplify right side
    22,842.05x = 325,520,677.30
  5. Step 5: Solve for x
    x = 325,520,677.30/22,842.05
  6. Step 6: Final answer
    x = 14,250.94

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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.