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Finding the Fourth Proportional to 21,253.29, 31,850.77 and 13,448.13

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Solution

The fourth proportional to 21,253.29, 31,850.77 and 13,448.13 is: 20,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.29 : 31,850.77 = 13,448.13 : x
  2. Step 2: Convert to fraction form
    21,253.29/31,850.77 = 13,448.13/x
  3. Step 3: Cross multiply
    21,253.29x = 31,850.77 × 13,448.13
  4. Step 4: Simplify right side
    21,253.29x = 428,333,295.56
  5. Step 5: Solve for x
    x = 428,333,295.56/21,253.29
  6. Step 6: Final answer
    x = 20,153.74

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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.