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Finding the Fourth Proportional to 22,644.20, 33,966.30 and 7,848.20

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Solution

The fourth proportional to 22,644.20, 33,966.30 and 7,848.20 is: 11,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.20 : 33,966.30 = 7,848.20 : x
  2. Step 2: Convert to fraction form
    22,644.20/33,966.30 = 7,848.20/x
  3. Step 3: Cross multiply
    22,644.20x = 33,966.30 × 7,848.20
  4. Step 4: Simplify right side
    22,644.20x = 266,574,315.66
  5. Step 5: Solve for x
    x = 266,574,315.66/22,644.20
  6. Step 6: Final answer
    x = 11,772.30

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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.