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Finding the Fourth Proportional to 22,384.36, 33,549 and 9,890.92

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Solution

The fourth proportional to 22,384.36, 33,549 and 9,890.92 is: 14,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.36 : 33,549 = 9,890.92 : x
  2. Step 2: Convert to fraction form
    22,384.36/33,549 = 9,890.92/x
  3. Step 3: Cross multiply
    22,384.36x = 33,549 × 9,890.92
  4. Step 4: Simplify right side
    22,384.36x = 331,830,475.08
  5. Step 5: Solve for x
    x = 331,830,475.08/22,384.36
  6. Step 6: Final answer
    x = 14,824.21

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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.