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Finding the Fourth Proportional to 18,322.88, 27,448.80 and 14,408

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Solution

The fourth proportional to 18,322.88, 27,448.80 and 14,408 is: 21,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322.88 : 27,448.80 = 14,408 : x
  2. Step 2: Convert to fraction form
    18,322.88/27,448.80 = 14,408/x
  3. Step 3: Cross multiply
    18,322.88x = 27,448.80 × 14,408
  4. Step 4: Simplify right side
    18,322.88x = 395,482,310.40
  5. Step 5: Solve for x
    x = 395,482,310.40/18,322.88
  6. Step 6: Final answer
    x = 21,584.07

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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.