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Finding the Fourth Proportional to 13,497.50, 20,253.18 and 7,581.08

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Solution

The fourth proportional to 13,497.50, 20,253.18 and 7,581.08 is: 11,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.50 : 20,253.18 = 7,581.08 : x
  2. Step 2: Convert to fraction form
    13,497.50/20,253.18 = 7,581.08/x
  3. Step 3: Cross multiply
    13,497.50x = 20,253.18 × 7,581.08
  4. Step 4: Simplify right side
    13,497.50x = 153,540,977.83
  5. Step 5: Solve for x
    x = 153,540,977.83/13,497.50
  6. Step 6: Final answer
    x = 11,375.51

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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.