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Finding the Fourth Proportional to 13,526.75, 20,294.74 and 7,287.41

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Solution

The fourth proportional to 13,526.75, 20,294.74 and 7,287.41 is: 10,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.75 : 20,294.74 = 7,287.41 : x
  2. Step 2: Convert to fraction form
    13,526.75/20,294.74 = 7,287.41/x
  3. Step 3: Cross multiply
    13,526.75x = 20,294.74 × 7,287.41
  4. Step 4: Simplify right side
    13,526.75x = 147,896,007.97
  5. Step 5: Solve for x
    x = 147,896,007.97/13,526.75
  6. Step 6: Final answer
    x = 10,933.59

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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.