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Finding the Fourth Proportional to 22,528.80, 33,728.40 and 13,780.80

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Solution

The fourth proportional to 22,528.80, 33,728.40 and 13,780.80 is: 20,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,528.80 : 33,728.40 = 13,780.80 : x
  2. Step 2: Convert to fraction form
    22,528.80/33,728.40 = 13,780.80/x
  3. Step 3: Cross multiply
    22,528.80x = 33,728.40 × 13,780.80
  4. Step 4: Simplify right side
    22,528.80x = 464,804,334.72
  5. Step 5: Solve for x
    x = 464,804,334.72/22,528.80
  6. Step 6: Final answer
    x = 20,631.56

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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.