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Finding the Fourth Proportional to 23,071.92, 34,587.12 and 8,277.38

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Solution

The fourth proportional to 23,071.92, 34,587.12 and 8,277.38 is: 12,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.92 : 34,587.12 = 8,277.38 : x
  2. Step 2: Convert to fraction form
    23,071.92/34,587.12 = 8,277.38/x
  3. Step 3: Cross multiply
    23,071.92x = 34,587.12 × 8,277.38
  4. Step 4: Simplify right side
    23,071.92x = 286,290,735.35
  5. Step 5: Solve for x
    x = 286,290,735.35/23,071.92
  6. Step 6: Final answer
    x = 12,408.62

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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.