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Finding the Fourth Proportional to 24,502.69, 33,799.44 and 17,780.50

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Solution

The fourth proportional to 24,502.69, 33,799.44 and 17,780.50 is: 24,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.69 : 33,799.44 = 17,780.50 : x
  2. Step 2: Convert to fraction form
    24,502.69/33,799.44 = 17,780.50/x
  3. Step 3: Cross multiply
    24,502.69x = 33,799.44 × 17,780.50
  4. Step 4: Simplify right side
    24,502.69x = 600,970,942.92
  5. Step 5: Solve for x
    x = 600,970,942.92/24,502.69
  6. Step 6: Final answer
    x = 24,526.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.