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Finding the Fourth Proportional to 22,202.56, 30,624.24 and 15,828.40

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Solution

The fourth proportional to 22,202.56, 30,624.24 and 15,828.40 is: 21,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.56 : 30,624.24 = 15,828.40 : x
  2. Step 2: Convert to fraction form
    22,202.56/30,624.24 = 15,828.40/x
  3. Step 3: Cross multiply
    22,202.56x = 30,624.24 × 15,828.40
  4. Step 4: Simplify right side
    22,202.56x = 484,732,720.42
  5. Step 5: Solve for x
    x = 484,732,720.42/22,202.56
  6. Step 6: Final answer
    x = 21,832.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.