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Finding the Fourth Proportional to 20,302.16, 30,448.92 and 6,447.92

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Solution

The fourth proportional to 20,302.16, 30,448.92 and 6,447.92 is: 9,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.16 : 30,448.92 = 6,447.92 : x
  2. Step 2: Convert to fraction form
    20,302.16/30,448.92 = 6,447.92/x
  3. Step 3: Cross multiply
    20,302.16x = 30,448.92 × 6,447.92
  4. Step 4: Simplify right side
    20,302.16x = 196,332,200.25
  5. Step 5: Solve for x
    x = 196,332,200.25/20,302.16
  6. Step 6: Final answer
    x = 9,670.51

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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.