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Finding the Fourth Proportional to 22,816.64, 31,648.05 and 22,209.75

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Solution

The fourth proportional to 22,816.64, 31,648.05 and 22,209.75 is: 30,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.64 : 31,648.05 = 22,209.75 : x
  2. Step 2: Convert to fraction form
    22,816.64/31,648.05 = 22,209.75/x
  3. Step 3: Cross multiply
    22,816.64x = 31,648.05 × 22,209.75
  4. Step 4: Simplify right side
    22,816.64x = 702,895,009.20
  5. Step 5: Solve for x
    x = 702,895,009.20/22,816.64
  6. Step 6: Final answer
    x = 30,806.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.