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Finding the Fourth Proportional to 24,916, 37,374 and 9,340.96

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Solution

The fourth proportional to 24,916, 37,374 and 9,340.96 is: 14,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916 : 37,374 = 9,340.96 : x
  2. Step 2: Convert to fraction form
    24,916/37,374 = 9,340.96/x
  3. Step 3: Cross multiply
    24,916x = 37,374 × 9,340.96
  4. Step 4: Simplify right side
    24,916x = 349,109,039.04
  5. Step 5: Solve for x
    x = 349,109,039.04/24,916
  6. Step 6: Final answer
    x = 14,011.44

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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.