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Finding the Fourth Proportional to 23,816.40, 35,726.28 and 6,286

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Solution

The fourth proportional to 23,816.40, 35,726.28 and 6,286 is: 9,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.40 : 35,726.28 = 6,286 : x
  2. Step 2: Convert to fraction form
    23,816.40/35,726.28 = 6,286/x
  3. Step 3: Cross multiply
    23,816.40x = 35,726.28 × 6,286
  4. Step 4: Simplify right side
    23,816.40x = 224,575,396.08
  5. Step 5: Solve for x
    x = 224,575,396.08/23,816.40
  6. Step 6: Final answer
    x = 9,429.44

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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.