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Finding the Fourth Proportional to 23,502.80, 35,222.16 and 11,824.04

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Solution

The fourth proportional to 23,502.80, 35,222.16 and 11,824.04 is: 17,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.80 : 35,222.16 = 11,824.04 : x
  2. Step 2: Convert to fraction form
    23,502.80/35,222.16 = 11,824.04/x
  3. Step 3: Cross multiply
    23,502.80x = 35,222.16 × 11,824.04
  4. Step 4: Simplify right side
    23,502.80x = 416,468,228.73
  5. Step 5: Solve for x
    x = 416,468,228.73/23,502.80
  6. Step 6: Final answer
    x = 17,719.94

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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.