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Finding the Fourth Proportional to 23,806.32, 35,711.16 and 6,276

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Solution

The fourth proportional to 23,806.32, 35,711.16 and 6,276 is: 9,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.32 : 35,711.16 = 6,276 : x
  2. Step 2: Convert to fraction form
    23,806.32/35,711.16 = 6,276/x
  3. Step 3: Cross multiply
    23,806.32x = 35,711.16 × 6,276
  4. Step 4: Simplify right side
    23,806.32x = 224,123,240.16
  5. Step 5: Solve for x
    x = 224,123,240.16/23,806.32
  6. Step 6: Final answer
    x = 9,414.44

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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.