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Finding the Fourth Proportional to 23,828.70, 32,883.08 and 13,218.24

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Solution

The fourth proportional to 23,828.70, 32,883.08 and 13,218.24 is: 18,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.70 : 32,883.08 = 13,218.24 : x
  2. Step 2: Convert to fraction form
    23,828.70/32,883.08 = 13,218.24/x
  3. Step 3: Cross multiply
    23,828.70x = 32,883.08 × 13,218.24
  4. Step 4: Simplify right side
    23,828.70x = 434,656,443.38
  5. Step 5: Solve for x
    x = 434,656,443.38/23,828.70
  6. Step 6: Final answer
    x = 18,240.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.