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Finding the Fourth Proportional to 22,102.31, 33,154.38 and 6,519.94

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Solution

The fourth proportional to 22,102.31, 33,154.38 and 6,519.94 is: 9,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.31 : 33,154.38 = 6,519.94 : x
  2. Step 2: Convert to fraction form
    22,102.31/33,154.38 = 6,519.94/x
  3. Step 3: Cross multiply
    22,102.31x = 33,154.38 × 6,519.94
  4. Step 4: Simplify right side
    22,102.31x = 216,164,485.45
  5. Step 5: Solve for x
    x = 216,164,485.45/22,102.31
  6. Step 6: Final answer
    x = 9,780.18

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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.