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Finding the Fourth Proportional to 22,697.46, 34,021.35 and 19,400.49

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Solution

The fourth proportional to 22,697.46, 34,021.35 and 19,400.49 is: 29,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.46 : 34,021.35 = 19,400.49 : x
  2. Step 2: Convert to fraction form
    22,697.46/34,021.35 = 19,400.49/x
  3. Step 3: Cross multiply
    22,697.46x = 34,021.35 × 19,400.49
  4. Step 4: Simplify right side
    22,697.46x = 660,030,860.46
  5. Step 5: Solve for x
    x = 660,030,860.46/22,697.46
  6. Step 6: Final answer
    x = 29,079.50

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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.