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Finding the Fourth Proportional to 22,102.56, 33,102.78 and 13,318.08

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Solution

The fourth proportional to 22,102.56, 33,102.78 and 13,318.08 is: 19,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.56 : 33,102.78 = 13,318.08 : x
  2. Step 2: Convert to fraction form
    22,102.56/33,102.78 = 13,318.08/x
  3. Step 3: Cross multiply
    22,102.56x = 33,102.78 × 13,318.08
  4. Step 4: Simplify right side
    22,102.56x = 440,865,472.26
  5. Step 5: Solve for x
    x = 440,865,472.26/22,102.56
  6. Step 6: Final answer
    x = 19,946.35

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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.