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Finding the Fourth Proportional to 22,998, 34,505.33 and 11,319.42

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Solution

The fourth proportional to 22,998, 34,505.33 and 11,319.42 is: 16,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,998 : 34,505.33 = 11,319.42 : x
  2. Step 2: Convert to fraction form
    22,998/34,505.33 = 11,319.42/x
  3. Step 3: Cross multiply
    22,998x = 34,505.33 × 11,319.42
  4. Step 4: Simplify right side
    22,998x = 390,580,265.91
  5. Step 5: Solve for x
    x = 390,580,265.91/22,998
  6. Step 6: Final answer
    x = 16,983.23

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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.