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Finding the Fourth Proportional to 13,518.43, 20,174.33 and 12,042.20

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Solution

The fourth proportional to 13,518.43, 20,174.33 and 12,042.20 is: 17,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.43 : 20,174.33 = 12,042.20 : x
  2. Step 2: Convert to fraction form
    13,518.43/20,174.33 = 12,042.20/x
  3. Step 3: Cross multiply
    13,518.43x = 20,174.33 × 12,042.20
  4. Step 4: Simplify right side
    13,518.43x = 242,943,397.27
  5. Step 5: Solve for x
    x = 242,943,397.27/13,518.43
  6. Step 6: Final answer
    x = 17,971.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.