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Finding the Fourth Proportional to 24,642, 36,968.85 and 8,002.08

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Solution

The fourth proportional to 24,642, 36,968.85 and 8,002.08 is: 12,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 36,968.85 = 8,002.08 : x
  2. Step 2: Convert to fraction form
    24,642/36,968.85 = 8,002.08/x
  3. Step 3: Cross multiply
    24,642x = 36,968.85 × 8,002.08
  4. Step 4: Simplify right side
    24,642x = 295,827,695.21
  5. Step 5: Solve for x
    x = 295,827,695.21/24,642
  6. Step 6: Final answer
    x = 12,005.02

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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.