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Finding the Fourth Proportional to 19,922.27, 27,492.83 and 11,424.71

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Solution

The fourth proportional to 19,922.27, 27,492.83 and 11,424.71 is: 15,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.27 : 27,492.83 = 11,424.71 : x
  2. Step 2: Convert to fraction form
    19,922.27/27,492.83 = 11,424.71/x
  3. Step 3: Cross multiply
    19,922.27x = 27,492.83 × 11,424.71
  4. Step 4: Simplify right side
    19,922.27x = 314,097,664.28
  5. Step 5: Solve for x
    x = 314,097,664.28/19,922.27
  6. Step 6: Final answer
    x = 15,766.16

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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.