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Finding the Fourth Proportional to 25,989.56, 38,984.25 and 6,268.11

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Solution

The fourth proportional to 25,989.56, 38,984.25 and 6,268.11 is: 9,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,989.56 : 38,984.25 = 6,268.11 : x
  2. Step 2: Convert to fraction form
    25,989.56/38,984.25 = 6,268.11/x
  3. Step 3: Cross multiply
    25,989.56x = 38,984.25 × 6,268.11
  4. Step 4: Simplify right side
    25,989.56x = 244,357,535.93
  5. Step 5: Solve for x
    x = 244,357,535.93/25,989.56
  6. Step 6: Final answer
    x = 9,402.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.