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Finding the Fourth Proportional to 19,337, 26,685.22 and 10,505

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Solution

The fourth proportional to 19,337, 26,685.22 and 10,505 is: 14,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,337 : 26,685.22 = 10,505 : x
  2. Step 2: Convert to fraction form
    19,337/26,685.22 = 10,505/x
  3. Step 3: Cross multiply
    19,337x = 26,685.22 × 10,505
  4. Step 4: Simplify right side
    19,337x = 280,328,236.10
  5. Step 5: Solve for x
    x = 280,328,236.10/19,337
  6. Step 6: Final answer
    x = 14,496.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.