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Finding the Fourth Proportional to 20,100.51, 30,151.71 and 16,584

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Solution

The fourth proportional to 20,100.51, 30,151.71 and 16,584 is: 24,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100.51 : 30,151.71 = 16,584 : x
  2. Step 2: Convert to fraction form
    20,100.51/30,151.71 = 16,584/x
  3. Step 3: Cross multiply
    20,100.51x = 30,151.71 × 16,584
  4. Step 4: Simplify right side
    20,100.51x = 500,035,958.64
  5. Step 5: Solve for x
    x = 500,035,958.64/20,100.51
  6. Step 6: Final answer
    x = 24,876.78

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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.