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Finding the Fourth Proportional to 13,348.68, 20,016.16 and 7,803.24

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Solution

The fourth proportional to 13,348.68, 20,016.16 and 7,803.24 is: 11,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.68 : 20,016.16 = 7,803.24 : x
  2. Step 2: Convert to fraction form
    13,348.68/20,016.16 = 7,803.24/x
  3. Step 3: Cross multiply
    13,348.68x = 20,016.16 × 7,803.24
  4. Step 4: Simplify right side
    13,348.68x = 156,190,900.36
  5. Step 5: Solve for x
    x = 156,190,900.36/13,348.68
  6. Step 6: Final answer
    x = 11,700.85

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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.