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Finding the Fourth Proportional to 22,969.18, 31,627.02 and 20,120.14

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Solution

The fourth proportional to 22,969.18, 31,627.02 and 20,120.14 is: 27,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.18 : 31,627.02 = 20,120.14 : x
  2. Step 2: Convert to fraction form
    22,969.18/31,627.02 = 20,120.14/x
  3. Step 3: Cross multiply
    22,969.18x = 31,627.02 × 20,120.14
  4. Step 4: Simplify right side
    22,969.18x = 636,340,070.18
  5. Step 5: Solve for x
    x = 636,340,070.18/22,969.18
  6. Step 6: Final answer
    x = 27,704.08

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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.