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Finding the Fourth Proportional to 20,265.84, 30,398.76 and 5,474.79

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Solution

The fourth proportional to 20,265.84, 30,398.76 and 5,474.79 is: 8,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.84 : 30,398.76 = 5,474.79 : x
  2. Step 2: Convert to fraction form
    20,265.84/30,398.76 = 5,474.79/x
  3. Step 3: Cross multiply
    20,265.84x = 30,398.76 × 5,474.79
  4. Step 4: Simplify right side
    20,265.84x = 166,426,827.26
  5. Step 5: Solve for x
    x = 166,426,827.26/20,265.84
  6. Step 6: Final answer
    x = 8,212.19

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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.