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Finding the Fourth Proportional to 34,894.84, 52,359.57 and 13,834.43

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Solution

The fourth proportional to 34,894.84, 52,359.57 and 13,834.43 is: 20,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894.84 : 52,359.57 = 13,834.43 : x
  2. Step 2: Convert to fraction form
    34,894.84/52,359.57 = 13,834.43/x
  3. Step 3: Cross multiply
    34,894.84x = 52,359.57 × 13,834.43
  4. Step 4: Simplify right side
    34,894.84x = 724,364,806.00
  5. Step 5: Solve for x
    x = 724,364,806.00/34,894.84
  6. Step 6: Final answer
    x = 20,758.51

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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.