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Finding the Fourth Proportional to 20,152.80, 27,812.61 and 11,200.14

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Solution

The fourth proportional to 20,152.80, 27,812.61 and 11,200.14 is: 15,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.80 : 27,812.61 = 11,200.14 : x
  2. Step 2: Convert to fraction form
    20,152.80/27,812.61 = 11,200.14/x
  3. Step 3: Cross multiply
    20,152.80x = 27,812.61 × 11,200.14
  4. Step 4: Simplify right side
    20,152.80x = 311,505,125.77
  5. Step 5: Solve for x
    x = 311,505,125.77/20,152.80
  6. Step 6: Final answer
    x = 15,457.16

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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.