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Finding the Fourth Proportional to 20,101.69, 27,740.37 and 12,142.45

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Solution

The fourth proportional to 20,101.69, 27,740.37 and 12,142.45 is: 16,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.69 : 27,740.37 = 12,142.45 : x
  2. Step 2: Convert to fraction form
    20,101.69/27,740.37 = 12,142.45/x
  3. Step 3: Cross multiply
    20,101.69x = 27,740.37 × 12,142.45
  4. Step 4: Simplify right side
    20,101.69x = 336,836,055.71
  5. Step 5: Solve for x
    x = 336,836,055.71/20,101.69
  6. Step 6: Final answer
    x = 16,756.60

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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.