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Finding the Fourth Proportional to 17,242.12, 23,793.78 and 9,688.46

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Solution

The fourth proportional to 17,242.12, 23,793.78 and 9,688.46 is: 13,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.12 : 23,793.78 = 9,688.46 : x
  2. Step 2: Convert to fraction form
    17,242.12/23,793.78 = 9,688.46/x
  3. Step 3: Cross multiply
    17,242.12x = 23,793.78 × 9,688.46
  4. Step 4: Simplify right side
    17,242.12x = 230,525,085.78
  5. Step 5: Solve for x
    x = 230,525,085.78/17,242.12
  6. Step 6: Final answer
    x = 13,369.88

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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.