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Finding the Fourth Proportional to 20,133.77, 27,783.71 and 11,180.57

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Solution

The fourth proportional to 20,133.77, 27,783.71 and 11,180.57 is: 15,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.77 : 27,783.71 = 11,180.57 : x
  2. Step 2: Convert to fraction form
    20,133.77/27,783.71 = 11,180.57/x
  3. Step 3: Cross multiply
    20,133.77x = 27,783.71 × 11,180.57
  4. Step 4: Simplify right side
    20,133.77x = 310,637,561.62
  5. Step 5: Solve for x
    x = 310,637,561.62/20,133.77
  6. Step 6: Final answer
    x = 15,428.69

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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.