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Finding the Fourth Proportional to 17,402.57, 24,010.04 and 10,230.20

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Solution

The fourth proportional to 17,402.57, 24,010.04 and 10,230.20 is: 14,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.57 : 24,010.04 = 10,230.20 : x
  2. Step 2: Convert to fraction form
    17,402.57/24,010.04 = 10,230.20/x
  3. Step 3: Cross multiply
    17,402.57x = 24,010.04 × 10,230.20
  4. Step 4: Simplify right side
    17,402.57x = 245,627,391.16
  5. Step 5: Solve for x
    x = 245,627,391.16/17,402.57
  6. Step 6: Final answer
    x = 14,114.44

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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.