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Finding the Fourth Proportional to 13,482.81, 20,233.32 and 4,717.80

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Solution

The fourth proportional to 13,482.81, 20,233.32 and 4,717.80 is: 7,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.81 : 20,233.32 = 4,717.80 : x
  2. Step 2: Convert to fraction form
    13,482.81/20,233.32 = 4,717.80/x
  3. Step 3: Cross multiply
    13,482.81x = 20,233.32 × 4,717.80
  4. Step 4: Simplify right side
    13,482.81x = 95,456,757.10
  5. Step 5: Solve for x
    x = 95,456,757.10/13,482.81
  6. Step 6: Final answer
    x = 7,079.89

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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.