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Finding the Fourth Proportional to 20,146.93, 27,802.55 and 11,194.24

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Solution

The fourth proportional to 20,146.93, 27,802.55 and 11,194.24 is: 15,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.93 : 27,802.55 = 11,194.24 : x
  2. Step 2: Convert to fraction form
    20,146.93/27,802.55 = 11,194.24/x
  3. Step 3: Cross multiply
    20,146.93x = 27,802.55 × 11,194.24
  4. Step 4: Simplify right side
    20,146.93x = 311,228,417.31
  5. Step 5: Solve for x
    x = 311,228,417.31/20,146.93
  6. Step 6: Final answer
    x = 15,447.93

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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.