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Finding the Fourth Proportional to 22,564.31, 33,848.21 and 6,981.80

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Solution

The fourth proportional to 22,564.31, 33,848.21 and 6,981.80 is: 10,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.31 : 33,848.21 = 6,981.80 : x
  2. Step 2: Convert to fraction form
    22,564.31/33,848.21 = 6,981.80/x
  3. Step 3: Cross multiply
    22,564.31x = 33,848.21 × 6,981.80
  4. Step 4: Simplify right side
    22,564.31x = 236,321,280.79
  5. Step 5: Solve for x
    x = 236,321,280.79/22,564.31
  6. Step 6: Final answer
    x = 10,473.24

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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.