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Finding the Fourth Proportional to 19,330, 26,675.56 and 10,498

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Solution

The fourth proportional to 19,330, 26,675.56 and 10,498 is: 14,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,330 : 26,675.56 = 10,498 : x
  2. Step 2: Convert to fraction form
    19,330/26,675.56 = 10,498/x
  3. Step 3: Cross multiply
    19,330x = 26,675.56 × 10,498
  4. Step 4: Simplify right side
    19,330x = 280,040,028.88
  5. Step 5: Solve for x
    x = 280,040,028.88/19,330
  6. Step 6: Final answer
    x = 14,487.33

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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.