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Finding the Fourth Proportional to 13,478.65, 20,218.71 and 4,120.11

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Solution

The fourth proportional to 13,478.65, 20,218.71 and 4,120.11 is: 6,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.65 : 20,218.71 = 4,120.11 : x
  2. Step 2: Convert to fraction form
    13,478.65/20,218.71 = 4,120.11/x
  3. Step 3: Cross multiply
    13,478.65x = 20,218.71 × 4,120.11
  4. Step 4: Simplify right side
    13,478.65x = 83,303,309.26
  5. Step 5: Solve for x
    x = 83,303,309.26/13,478.65
  6. Step 6: Final answer
    x = 6,180.39

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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.