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Finding the Fourth Proportional to 20,152.88, 27,811.28 and 11,200.76

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Solution

The fourth proportional to 20,152.88, 27,811.28 and 11,200.76 is: 15,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.88 : 27,811.28 = 11,200.76 : x
  2. Step 2: Convert to fraction form
    20,152.88/27,811.28 = 11,200.76/x
  3. Step 3: Cross multiply
    20,152.88x = 27,811.28 × 11,200.76
  4. Step 4: Simplify right side
    20,152.88x = 311,507,472.57
  5. Step 5: Solve for x
    x = 311,507,472.57/20,152.88
  6. Step 6: Final answer
    x = 15,457.22

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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.