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Finding the Fourth Proportional to 24,991.74, 37,473.84 and 8,343

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Solution

The fourth proportional to 24,991.74, 37,473.84 and 8,343 is: 12,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,991.74 : 37,473.84 = 8,343 : x
  2. Step 2: Convert to fraction form
    24,991.74/37,473.84 = 8,343/x
  3. Step 3: Cross multiply
    24,991.74x = 37,473.84 × 8,343
  4. Step 4: Simplify right side
    24,991.74x = 312,644,247.12
  5. Step 5: Solve for x
    x = 312,644,247.12/24,991.74
  6. Step 6: Final answer
    x = 12,509.90

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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.