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Finding the Fourth Proportional to 13,598.36, 20,400.78 and 5,278.58

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Solution

The fourth proportional to 13,598.36, 20,400.78 and 5,278.58 is: 7,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.36 : 20,400.78 = 5,278.58 : x
  2. Step 2: Convert to fraction form
    13,598.36/20,400.78 = 5,278.58/x
  3. Step 3: Cross multiply
    13,598.36x = 20,400.78 × 5,278.58
  4. Step 4: Simplify right side
    13,598.36x = 107,687,149.29
  5. Step 5: Solve for x
    x = 107,687,149.29/13,598.36
  6. Step 6: Final answer
    x = 7,919.13

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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.