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Finding the Fourth Proportional to 22,433.20, 33,649.80 and 19,970.80

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Solution

The fourth proportional to 22,433.20, 33,649.80 and 19,970.80 is: 29,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.20 : 33,649.80 = 19,970.80 : x
  2. Step 2: Convert to fraction form
    22,433.20/33,649.80 = 19,970.80/x
  3. Step 3: Cross multiply
    22,433.20x = 33,649.80 × 19,970.80
  4. Step 4: Simplify right side
    22,433.20x = 672,013,425.84
  5. Step 5: Solve for x
    x = 672,013,425.84/22,433.20
  6. Step 6: Final answer
    x = 29,956.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.