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Finding the Fourth Proportional to 13,540, 18,685.56 and 7,572.68

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Solution

The fourth proportional to 13,540, 18,685.56 and 7,572.68 is: 10,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540 : 18,685.56 = 7,572.68 : x
  2. Step 2: Convert to fraction form
    13,540/18,685.56 = 7,572.68/x
  3. Step 3: Cross multiply
    13,540x = 18,685.56 × 7,572.68
  4. Step 4: Simplify right side
    13,540x = 141,499,766.50
  5. Step 5: Solve for x
    x = 141,499,766.50/13,540
  6. Step 6: Final answer
    x = 10,450.50

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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.