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Finding the Fourth Proportional to 22,384.35, 33,569.01 and 11,283.98

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Solution

The fourth proportional to 22,384.35, 33,569.01 and 11,283.98 is: 16,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.35 : 33,569.01 = 11,283.98 : x
  2. Step 2: Convert to fraction form
    22,384.35/33,569.01 = 11,283.98/x
  3. Step 3: Cross multiply
    22,384.35x = 33,569.01 × 11,283.98
  4. Step 4: Simplify right side
    22,384.35x = 378,791,869.61
  5. Step 5: Solve for x
    x = 378,791,869.61/22,384.35
  6. Step 6: Final answer
    x = 16,922.17

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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.