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Finding the Fourth Proportional to 13,023.75, 17,974.26 and 7,360.77

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Solution

The fourth proportional to 13,023.75, 17,974.26 and 7,360.77 is: 10,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.75 : 17,974.26 = 7,360.77 : x
  2. Step 2: Convert to fraction form
    13,023.75/17,974.26 = 7,360.77/x
  3. Step 3: Cross multiply
    13,023.75x = 17,974.26 × 7,360.77
  4. Step 4: Simplify right side
    13,023.75x = 132,304,393.78
  5. Step 5: Solve for x
    x = 132,304,393.78/13,023.75
  6. Step 6: Final answer
    x = 10,158.70

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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.