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Finding the Fourth Proportional to 13,511.66, 20,250.57 and 7,256.30

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Solution

The fourth proportional to 13,511.66, 20,250.57 and 7,256.30 is: 10,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.66 : 20,250.57 = 7,256.30 : x
  2. Step 2: Convert to fraction form
    13,511.66/20,250.57 = 7,256.30/x
  3. Step 3: Cross multiply
    13,511.66x = 20,250.57 × 7,256.30
  4. Step 4: Simplify right side
    13,511.66x = 146,944,211.09
  5. Step 5: Solve for x
    x = 146,944,211.09/13,511.66
  6. Step 6: Final answer
    x = 10,875.36

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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.