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Finding the Fourth Proportional to 28,524.49, 42,774.24 and 13,535.88

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Solution

The fourth proportional to 28,524.49, 42,774.24 and 13,535.88 is: 20,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524.49 : 42,774.24 = 13,535.88 : x
  2. Step 2: Convert to fraction form
    28,524.49/42,774.24 = 13,535.88/x
  3. Step 3: Cross multiply
    28,524.49x = 42,774.24 × 13,535.88
  4. Step 4: Simplify right side
    28,524.49x = 578,986,870.09
  5. Step 5: Solve for x
    x = 578,986,870.09/28,524.49
  6. Step 6: Final answer
    x = 20,297.89

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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.