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Finding the Fourth Proportional to 23,142.96, 34,717.19 and 8,358.84

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Solution

The fourth proportional to 23,142.96, 34,717.19 and 8,358.84 is: 12,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.96 : 34,717.19 = 8,358.84 : x
  2. Step 2: Convert to fraction form
    23,142.96/34,717.19 = 8,358.84/x
  3. Step 3: Cross multiply
    23,142.96x = 34,717.19 × 8,358.84
  4. Step 4: Simplify right side
    23,142.96x = 290,195,394.67
  5. Step 5: Solve for x
    x = 290,195,394.67/23,142.96
  6. Step 6: Final answer
    x = 12,539.25

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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.