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Finding the Fourth Proportional to 24,196.88, 36,296.04 and 6,668

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Solution

The fourth proportional to 24,196.88, 36,296.04 and 6,668 is: 10,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.88 : 36,296.04 = 6,668 : x
  2. Step 2: Convert to fraction form
    24,196.88/36,296.04 = 6,668/x
  3. Step 3: Cross multiply
    24,196.88x = 36,296.04 × 6,668
  4. Step 4: Simplify right side
    24,196.88x = 242,021,994.72
  5. Step 5: Solve for x
    x = 242,021,994.72/24,196.88
  6. Step 6: Final answer
    x = 10,002.20

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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.