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Finding the Fourth Proportional to 20,146.53, 27,802.06 and 11,193.87

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Solution

The fourth proportional to 20,146.53, 27,802.06 and 11,193.87 is: 15,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.53 : 27,802.06 = 11,193.87 : x
  2. Step 2: Convert to fraction form
    20,146.53/27,802.06 = 11,193.87/x
  3. Step 3: Cross multiply
    20,146.53x = 27,802.06 × 11,193.87
  4. Step 4: Simplify right side
    20,146.53x = 311,212,617.39
  5. Step 5: Solve for x
    x = 311,212,617.39/20,146.53
  6. Step 6: Final answer
    x = 15,447.46

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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.