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Finding the Fourth Proportional to 24,767, 37,156.26 and 8,351

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Solution

The fourth proportional to 24,767, 37,156.26 and 8,351 is: 12,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767 : 37,156.26 = 8,351 : x
  2. Step 2: Convert to fraction form
    24,767/37,156.26 = 8,351/x
  3. Step 3: Cross multiply
    24,767x = 37,156.26 × 8,351
  4. Step 4: Simplify right side
    24,767x = 310,291,927.26
  5. Step 5: Solve for x
    x = 310,291,927.26/24,767
  6. Step 6: Final answer
    x = 12,528.44

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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.