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Finding the Fourth Proportional to 23,213.29, 32,034.99 and 12,603.61

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Solution

The fourth proportional to 23,213.29, 32,034.99 and 12,603.61 is: 17,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.29 : 32,034.99 = 12,603.61 : x
  2. Step 2: Convert to fraction form
    23,213.29/32,034.99 = 12,603.61/x
  3. Step 3: Cross multiply
    23,213.29x = 32,034.99 × 12,603.61
  4. Step 4: Simplify right side
    23,213.29x = 403,756,520.31
  5. Step 5: Solve for x
    x = 403,756,520.31/23,213.29
  6. Step 6: Final answer
    x = 17,393.33

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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.