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Finding the Fourth Proportional to 23,213.74, 32,034.07 and 12,603.14

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Solution

The fourth proportional to 23,213.74, 32,034.07 and 12,603.14 is: 17,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.74 : 32,034.07 = 12,603.14 : x
  2. Step 2: Convert to fraction form
    23,213.74/32,034.07 = 12,603.14/x
  3. Step 3: Cross multiply
    23,213.74x = 32,034.07 × 12,603.14
  4. Step 4: Simplify right side
    23,213.74x = 403,729,868.98
  5. Step 5: Solve for x
    x = 403,729,868.98/23,213.74
  6. Step 6: Final answer
    x = 17,391.85

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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.