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Finding the Fourth Proportional to 23,236, 34,834.40 and 10,078.46

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Solution

The fourth proportional to 23,236, 34,834.40 and 10,078.46 is: 15,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,236 : 34,834.40 = 10,078.46 : x
  2. Step 2: Convert to fraction form
    23,236/34,834.40 = 10,078.46/x
  3. Step 3: Cross multiply
    23,236x = 34,834.40 × 10,078.46
  4. Step 4: Simplify right side
    23,236x = 351,077,107.02
  5. Step 5: Solve for x
    x = 351,077,107.02/23,236
  6. Step 6: Final answer
    x = 15,109.19

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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.