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Finding the Fourth Proportional to 19,299, 26,632.62 and 10,467

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Solution

The fourth proportional to 19,299, 26,632.62 and 10,467 is: 14,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,299 : 26,632.62 = 10,467 : x
  2. Step 2: Convert to fraction form
    19,299/26,632.62 = 10,467/x
  3. Step 3: Cross multiply
    19,299x = 26,632.62 × 10,467
  4. Step 4: Simplify right side
    19,299x = 278,763,633.54
  5. Step 5: Solve for x
    x = 278,763,633.54/19,299
  6. Step 6: Final answer
    x = 14,444.46

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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.