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Finding the Fourth Proportional to 13,922.14, 20,878.07 and 6,025.81

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Solution

The fourth proportional to 13,922.14, 20,878.07 and 6,025.81 is: 9,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.14 : 20,878.07 = 6,025.81 : x
  2. Step 2: Convert to fraction form
    13,922.14/20,878.07 = 6,025.81/x
  3. Step 3: Cross multiply
    13,922.14x = 20,878.07 × 6,025.81
  4. Step 4: Simplify right side
    13,922.14x = 125,807,252.86
  5. Step 5: Solve for x
    x = 125,807,252.86/13,922.14
  6. Step 6: Final answer
    x = 9,036.49

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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.