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Finding the Fourth Proportional to 20,153.76, 27,807.78 and 11,200.68

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Solution

The fourth proportional to 20,153.76, 27,807.78 and 11,200.68 is: 15,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.76 : 27,807.78 = 11,200.68 : x
  2. Step 2: Convert to fraction form
    20,153.76/27,807.78 = 11,200.68/x
  3. Step 3: Cross multiply
    20,153.76x = 27,807.78 × 11,200.68
  4. Step 4: Simplify right side
    20,153.76x = 311,466,045.29
  5. Step 5: Solve for x
    x = 311,466,045.29/20,153.76
  6. Step 6: Final answer
    x = 15,454.49

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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.