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Finding the Fourth Proportional to 22,378.40, 33,529.20 and 14,583.20

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Solution

The fourth proportional to 22,378.40, 33,529.20 and 14,583.20 is: 21,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.40 : 33,529.20 = 14,583.20 : x
  2. Step 2: Convert to fraction form
    22,378.40/33,529.20 = 14,583.20/x
  3. Step 3: Cross multiply
    22,378.40x = 33,529.20 × 14,583.20
  4. Step 4: Simplify right side
    22,378.40x = 488,963,029.44
  5. Step 5: Solve for x
    x = 488,963,029.44/22,378.40
  6. Step 6: Final answer
    x = 21,849.78

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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.