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Finding the Fourth Proportional to 13,482.25, 20,227.37 and 6,913.05

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Solution

The fourth proportional to 13,482.25, 20,227.37 and 6,913.05 is: 10,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.25 : 20,227.37 = 6,913.05 : x
  2. Step 2: Convert to fraction form
    13,482.25/20,227.37 = 6,913.05/x
  3. Step 3: Cross multiply
    13,482.25x = 20,227.37 × 6,913.05
  4. Step 4: Simplify right side
    13,482.25x = 139,832,820.18
  5. Step 5: Solve for x
    x = 139,832,820.18/13,482.25
  6. Step 6: Final answer
    x = 10,371.62

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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.