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Finding the Fourth Proportional to 34,856.38, 52,306.04 and 13,792.87

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Solution

The fourth proportional to 34,856.38, 52,306.04 and 13,792.87 is: 20,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,856.38 : 52,306.04 = 13,792.87 : x
  2. Step 2: Convert to fraction form
    34,856.38/52,306.04 = 13,792.87/x
  3. Step 3: Cross multiply
    34,856.38x = 52,306.04 × 13,792.87
  4. Step 4: Simplify right side
    34,856.38x = 721,450,409.93
  5. Step 5: Solve for x
    x = 721,450,409.93/34,856.38
  6. Step 6: Final answer
    x = 20,697.80

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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.