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Finding the Fourth Proportional to 19,920.66, 29,842.10 and 15,517.50

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Solution

The fourth proportional to 19,920.66, 29,842.10 and 15,517.50 is: 23,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.66 : 29,842.10 = 15,517.50 : x
  2. Step 2: Convert to fraction form
    19,920.66/29,842.10 = 15,517.50/x
  3. Step 3: Cross multiply
    19,920.66x = 29,842.10 × 15,517.50
  4. Step 4: Simplify right side
    19,920.66x = 463,074,786.75
  5. Step 5: Solve for x
    x = 463,074,786.75/19,920.66
  6. Step 6: Final answer
    x = 23,245.96

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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.