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Finding the Fourth Proportional to 20,106.84, 30,110.58 and 16,218.84

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Solution

The fourth proportional to 20,106.84, 30,110.58 and 16,218.84 is: 24,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.84 : 30,110.58 = 16,218.84 : x
  2. Step 2: Convert to fraction form
    20,106.84/30,110.58 = 16,218.84/x
  3. Step 3: Cross multiply
    20,106.84x = 30,110.58 × 16,218.84
  4. Step 4: Simplify right side
    20,106.84x = 488,358,679.33
  5. Step 5: Solve for x
    x = 488,358,679.33/20,106.84
  6. Step 6: Final answer
    x = 24,288.19

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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.