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Finding the Fourth Proportional to 24,876, 37,316.16 and 6,408

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Solution

The fourth proportional to 24,876, 37,316.16 and 6,408 is: 9,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 37,316.16 = 6,408 : x
  2. Step 2: Convert to fraction form
    24,876/37,316.16 = 6,408/x
  3. Step 3: Cross multiply
    24,876x = 37,316.16 × 6,408
  4. Step 4: Simplify right side
    24,876x = 239,121,953.28
  5. Step 5: Solve for x
    x = 239,121,953.28/24,876
  6. Step 6: Final answer
    x = 9,612.56

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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.