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Finding the Fourth Proportional to 23,816, 35,724.08 and 6,287.20

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Solution

The fourth proportional to 23,816, 35,724.08 and 6,287.20 is: 9,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816 : 35,724.08 = 6,287.20 : x
  2. Step 2: Convert to fraction form
    23,816/35,724.08 = 6,287.20/x
  3. Step 3: Cross multiply
    23,816x = 35,724.08 × 6,287.20
  4. Step 4: Simplify right side
    23,816x = 224,604,435.78
  5. Step 5: Solve for x
    x = 224,604,435.78/23,816
  6. Step 6: Final answer
    x = 9,430.82

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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.