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Finding the Fourth Proportional to 17,838.96, 26,750.70 and 9,517.13

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Solution

The fourth proportional to 17,838.96, 26,750.70 and 9,517.13 is: 14,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.96 : 26,750.70 = 9,517.13 : x
  2. Step 2: Convert to fraction form
    17,838.96/26,750.70 = 9,517.13/x
  3. Step 3: Cross multiply
    17,838.96x = 26,750.70 × 9,517.13
  4. Step 4: Simplify right side
    17,838.96x = 254,589,708.15
  5. Step 5: Solve for x
    x = 254,589,708.15/17,838.96
  6. Step 6: Final answer
    x = 14,271.56

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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.