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Finding the Fourth Proportional to 23,283.14, 32,168.31 and 16,241

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Solution

The fourth proportional to 23,283.14, 32,168.31 and 16,241 is: 22,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.14 : 32,168.31 = 16,241 : x
  2. Step 2: Convert to fraction form
    23,283.14/32,168.31 = 16,241/x
  3. Step 3: Cross multiply
    23,283.14x = 32,168.31 × 16,241
  4. Step 4: Simplify right side
    23,283.14x = 522,445,522.71
  5. Step 5: Solve for x
    x = 522,445,522.71/23,283.14
  6. Step 6: Final answer
    x = 22,438.79

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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.