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Finding the Fourth Proportional to 13,903.20, 20,854.84 and 6,976.08

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Solution

The fourth proportional to 13,903.20, 20,854.84 and 6,976.08 is: 10,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.20 : 20,854.84 = 6,976.08 : x
  2. Step 2: Convert to fraction form
    13,903.20/20,854.84 = 6,976.08/x
  3. Step 3: Cross multiply
    13,903.20x = 20,854.84 × 6,976.08
  4. Step 4: Simplify right side
    13,903.20x = 145,485,032.23
  5. Step 5: Solve for x
    x = 145,485,032.23/13,903.20
  6. Step 6: Final answer
    x = 10,464.14

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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.