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Finding the Fourth Proportional to 22,719.54, 31,357.49 and 13,161

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Solution

The fourth proportional to 22,719.54, 31,357.49 and 13,161 is: 18,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,719.54 : 31,357.49 = 13,161 : x
  2. Step 2: Convert to fraction form
    22,719.54/31,357.49 = 13,161/x
  3. Step 3: Cross multiply
    22,719.54x = 31,357.49 × 13,161
  4. Step 4: Simplify right side
    22,719.54x = 412,695,925.89
  5. Step 5: Solve for x
    x = 412,695,925.89/22,719.54
  6. Step 6: Final answer
    x = 18,164.80

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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.