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Finding the Fourth Proportional to 22,351.74, 30,847.05 and 14,784.99

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Solution

The fourth proportional to 22,351.74, 30,847.05 and 14,784.99 is: 20,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.74 : 30,847.05 = 14,784.99 : x
  2. Step 2: Convert to fraction form
    22,351.74/30,847.05 = 14,784.99/x
  3. Step 3: Cross multiply
    22,351.74x = 30,847.05 × 14,784.99
  4. Step 4: Simplify right side
    22,351.74x = 456,073,325.78
  5. Step 5: Solve for x
    x = 456,073,325.78/22,351.74
  6. Step 6: Final answer
    x = 20,404.38

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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.