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Finding the Fourth Proportional to 20,148.88, 30,224.12 and 6,298

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Solution

The fourth proportional to 20,148.88, 30,224.12 and 6,298 is: 9,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.88 : 30,224.12 = 6,298 : x
  2. Step 2: Convert to fraction form
    20,148.88/30,224.12 = 6,298/x
  3. Step 3: Cross multiply
    20,148.88x = 30,224.12 × 6,298
  4. Step 4: Simplify right side
    20,148.88x = 190,351,507.76
  5. Step 5: Solve for x
    x = 190,351,507.76/20,148.88
  6. Step 6: Final answer
    x = 9,447.25

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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.