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Finding the Fourth Proportional to 23,807.65, 35,713.91 and 8,223.25

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Solution

The fourth proportional to 23,807.65, 35,713.91 and 8,223.25 is: 12,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.65 : 35,713.91 = 8,223.25 : x
  2. Step 2: Convert to fraction form
    23,807.65/35,713.91 = 8,223.25/x
  3. Step 3: Cross multiply
    23,807.65x = 35,713.91 × 8,223.25
  4. Step 4: Simplify right side
    23,807.65x = 293,684,369.29
  5. Step 5: Solve for x
    x = 293,684,369.29/23,807.65
  6. Step 6: Final answer
    x = 12,335.71

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1.5x scale

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.