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Finding the Fourth Proportional to 22,469.13, 33,710.90 and 10,783.17

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Solution

The fourth proportional to 22,469.13, 33,710.90 and 10,783.17 is: 16,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.13 : 33,710.90 = 10,783.17 : x
  2. Step 2: Convert to fraction form
    22,469.13/33,710.90 = 10,783.17/x
  3. Step 3: Cross multiply
    22,469.13x = 33,710.90 × 10,783.17
  4. Step 4: Simplify right side
    22,469.13x = 363,510,311.64
  5. Step 5: Solve for x
    x = 363,510,311.64/22,469.13
  6. Step 6: Final answer
    x = 16,178.21

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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.