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Finding the Fourth Proportional to 23,146, 34,711.83 and 8,353

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Solution

The fourth proportional to 23,146, 34,711.83 and 8,353 is: 12,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146 : 34,711.83 = 8,353 : x
  2. Step 2: Convert to fraction form
    23,146/34,711.83 = 8,353/x
  3. Step 3: Cross multiply
    23,146x = 34,711.83 × 8,353
  4. Step 4: Simplify right side
    23,146x = 289,947,915.99
  5. Step 5: Solve for x
    x = 289,947,915.99/23,146
  6. Step 6: Final answer
    x = 12,526.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.