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Finding the Fourth Proportional to 22,493.18, 33,740.68 and 7,712.25

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Solution

The fourth proportional to 22,493.18, 33,740.68 and 7,712.25 is: 11,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.18 : 33,740.68 = 7,712.25 : x
  2. Step 2: Convert to fraction form
    22,493.18/33,740.68 = 7,712.25/x
  3. Step 3: Cross multiply
    22,493.18x = 33,740.68 × 7,712.25
  4. Step 4: Simplify right side
    22,493.18x = 260,216,559.33
  5. Step 5: Solve for x
    x = 260,216,559.33/22,493.18
  6. Step 6: Final answer
    x = 11,568.69

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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.