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Finding the Fourth Proportional to 20,274.96, 30,417.24 and 6,423.96

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Solution

The fourth proportional to 20,274.96, 30,417.24 and 6,423.96 is: 9,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.96 : 30,417.24 = 6,423.96 : x
  2. Step 2: Convert to fraction form
    20,274.96/30,417.24 = 6,423.96/x
  3. Step 3: Cross multiply
    20,274.96x = 30,417.24 × 6,423.96
  4. Step 4: Simplify right side
    20,274.96x = 195,399,133.07
  5. Step 5: Solve for x
    x = 195,399,133.07/20,274.96
  6. Step 6: Final answer
    x = 9,637.46

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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.