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Finding the Fourth Proportional to 20,206.96, 27,884.93 and 11,254.01

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Solution

The fourth proportional to 20,206.96, 27,884.93 and 11,254.01 is: 15,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.96 : 27,884.93 = 11,254.01 : x
  2. Step 2: Convert to fraction form
    20,206.96/27,884.93 = 11,254.01/x
  3. Step 3: Cross multiply
    20,206.96x = 27,884.93 × 11,254.01
  4. Step 4: Simplify right side
    20,206.96x = 313,817,085.37
  5. Step 5: Solve for x
    x = 313,817,085.37/20,206.96
  6. Step 6: Final answer
    x = 15,530.15

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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.