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Finding the Fourth Proportional to 23,930.88, 33,023.84 and 13,320.16

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Solution

The fourth proportional to 23,930.88, 33,023.84 and 13,320.16 is: 18,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.88 : 33,023.84 = 13,320.16 : x
  2. Step 2: Convert to fraction form
    23,930.88/33,023.84 = 13,320.16/x
  3. Step 3: Cross multiply
    23,930.88x = 33,023.84 × 13,320.16
  4. Step 4: Simplify right side
    23,930.88x = 439,882,832.61
  5. Step 5: Solve for x
    x = 439,882,832.61/23,930.88
  6. Step 6: Final answer
    x = 18,381.39

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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.