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Finding the Fourth Proportional to 21,816.72, 30,096 and 16,502.40

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Solution

The fourth proportional to 21,816.72, 30,096 and 16,502.40 is: 22,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.72 : 30,096 = 16,502.40 : x
  2. Step 2: Convert to fraction form
    21,816.72/30,096 = 16,502.40/x
  3. Step 3: Cross multiply
    21,816.72x = 30,096 × 16,502.40
  4. Step 4: Simplify right side
    21,816.72x = 496,656,230.40
  5. Step 5: Solve for x
    x = 496,656,230.40/21,816.72
  6. Step 6: Final answer
    x = 22,764.94

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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.