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Finding the Fourth Proportional to 22,034.97, 32,969.84 and 13,117.68

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Solution

The fourth proportional to 22,034.97, 32,969.84 and 13,117.68 is: 19,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.97 : 32,969.84 = 13,117.68 : x
  2. Step 2: Convert to fraction form
    22,034.97/32,969.84 = 13,117.68/x
  3. Step 3: Cross multiply
    22,034.97x = 32,969.84 × 13,117.68
  4. Step 4: Simplify right side
    22,034.97x = 432,487,745.18
  5. Step 5: Solve for x
    x = 432,487,745.18/22,034.97
  6. Step 6: Final answer
    x = 19,627.34

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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.