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Finding the Fourth Proportional to 23,353.70, 32,227.94 and 13,282.13

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Solution

The fourth proportional to 23,353.70, 32,227.94 and 13,282.13 is: 18,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.70 : 32,227.94 = 13,282.13 : x
  2. Step 2: Convert to fraction form
    23,353.70/32,227.94 = 13,282.13/x
  3. Step 3: Cross multiply
    23,353.70x = 32,227.94 × 13,282.13
  4. Step 4: Simplify right side
    23,353.70x = 428,055,802.49
  5. Step 5: Solve for x
    x = 428,055,802.49/23,353.70
  6. Step 6: Final answer
    x = 18,329.25

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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.