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Finding the Fourth Proportional to 13,482.86, 20,218.01 and 4,120.47

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Solution

The fourth proportional to 13,482.86, 20,218.01 and 4,120.47 is: 6,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.86 : 20,218.01 = 4,120.47 : x
  2. Step 2: Convert to fraction form
    13,482.86/20,218.01 = 4,120.47/x
  3. Step 3: Cross multiply
    13,482.86x = 20,218.01 × 4,120.47
  4. Step 4: Simplify right side
    13,482.86x = 83,307,683.06
  5. Step 5: Solve for x
    x = 83,307,683.06/13,482.86
  6. Step 6: Final answer
    x = 6,178.79

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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.