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Finding the Fourth Proportional to 22,778.56, 31,433.70 and 13,353.40

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Solution

The fourth proportional to 22,778.56, 31,433.70 and 13,353.40 is: 18,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.56 : 31,433.70 = 13,353.40 : x
  2. Step 2: Convert to fraction form
    22,778.56/31,433.70 = 13,353.40/x
  3. Step 3: Cross multiply
    22,778.56x = 31,433.70 × 13,353.40
  4. Step 4: Simplify right side
    22,778.56x = 419,746,769.58
  5. Step 5: Solve for x
    x = 419,746,769.58/22,778.56
  6. Step 6: Final answer
    x = 18,427.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.