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Finding the Fourth Proportional to 20,142.81, 27,800.40 and 16,780.30

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Solution

The fourth proportional to 20,142.81, 27,800.40 and 16,780.30 is: 23,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.81 : 27,800.40 = 16,780.30 : x
  2. Step 2: Convert to fraction form
    20,142.81/27,800.40 = 16,780.30/x
  3. Step 3: Cross multiply
    20,142.81x = 27,800.40 × 16,780.30
  4. Step 4: Simplify right side
    20,142.81x = 466,499,052.12
  5. Step 5: Solve for x
    x = 466,499,052.12/20,142.81
  6. Step 6: Final answer
    x = 23,159.58

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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.