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Finding the Fourth Proportional to 22,202.53, 33,313.52 and 9,725.70

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Solution

The fourth proportional to 22,202.53, 33,313.52 and 9,725.70 is: 14,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.53 : 33,313.52 = 9,725.70 : x
  2. Step 2: Convert to fraction form
    22,202.53/33,313.52 = 9,725.70/x
  3. Step 3: Cross multiply
    22,202.53x = 33,313.52 × 9,725.70
  4. Step 4: Simplify right side
    22,202.53x = 323,997,301.46
  5. Step 5: Solve for x
    x = 323,997,301.46/22,202.53
  6. Step 6: Final answer
    x = 14,592.81

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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.