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Finding the Fourth Proportional to 24,751, 37,132.26 and 8,335

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Solution

The fourth proportional to 24,751, 37,132.26 and 8,335 is: 12,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751 : 37,132.26 = 8,335 : x
  2. Step 2: Convert to fraction form
    24,751/37,132.26 = 8,335/x
  3. Step 3: Cross multiply
    24,751x = 37,132.26 × 8,335
  4. Step 4: Simplify right side
    24,751x = 309,497,387.10
  5. Step 5: Solve for x
    x = 309,497,387.10/24,751
  6. Step 6: Final answer
    x = 12,504.44

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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.