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Finding the Fourth Proportional to 24,553.08, 36,825.84 and 8,967

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Solution

The fourth proportional to 24,553.08, 36,825.84 and 8,967 is: 13,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.08 : 36,825.84 = 8,967 : x
  2. Step 2: Convert to fraction form
    24,553.08/36,825.84 = 8,967/x
  3. Step 3: Cross multiply
    24,553.08x = 36,825.84 × 8,967
  4. Step 4: Simplify right side
    24,553.08x = 330,217,307.28
  5. Step 5: Solve for x
    x = 330,217,307.28/24,553.08
  6. Step 6: Final answer
    x = 13,449.12

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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.