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Finding the Fourth Proportional to 17,431.88, 26,138.54 and 6,901.46

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Solution

The fourth proportional to 17,431.88, 26,138.54 and 6,901.46 is: 10,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.88 : 26,138.54 = 6,901.46 : x
  2. Step 2: Convert to fraction form
    17,431.88/26,138.54 = 6,901.46/x
  3. Step 3: Cross multiply
    17,431.88x = 26,138.54 × 6,901.46
  4. Step 4: Simplify right side
    17,431.88x = 180,394,088.27
  5. Step 5: Solve for x
    x = 180,394,088.27/17,431.88
  6. Step 6: Final answer
    x = 10,348.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.