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Finding the Fourth Proportional to 13,581.84, 20,366.67 and 4,814.40

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Solution

The fourth proportional to 13,581.84, 20,366.67 and 4,814.40 is: 7,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.84 : 20,366.67 = 4,814.40 : x
  2. Step 2: Convert to fraction form
    13,581.84/20,366.67 = 4,814.40/x
  3. Step 3: Cross multiply
    13,581.84x = 20,366.67 × 4,814.40
  4. Step 4: Simplify right side
    13,581.84x = 98,053,296.05
  5. Step 5: Solve for x
    x = 98,053,296.05/13,581.84
  6. Step 6: Final answer
    x = 7,219.44

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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.