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Finding the Fourth Proportional to 22,398.46, 33,575.40 and 10,698

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Solution

The fourth proportional to 22,398.46, 33,575.40 and 10,698 is: 16,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398.46 : 33,575.40 = 10,698 : x
  2. Step 2: Convert to fraction form
    22,398.46/33,575.40 = 10,698/x
  3. Step 3: Cross multiply
    22,398.46x = 33,575.40 × 10,698
  4. Step 4: Simplify right side
    22,398.46x = 359,189,629.20
  5. Step 5: Solve for x
    x = 359,189,629.20/22,398.46
  6. Step 6: Final answer
    x = 16,036.35

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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.