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Finding the Fourth Proportional to 18,719.13, 25,831.59 and 10,221.09

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Solution

The fourth proportional to 18,719.13, 25,831.59 and 10,221.09 is: 14,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719.13 : 25,831.59 = 10,221.09 : x
  2. Step 2: Convert to fraction form
    18,719.13/25,831.59 = 10,221.09/x
  3. Step 3: Cross multiply
    18,719.13x = 25,831.59 × 10,221.09
  4. Step 4: Simplify right side
    18,719.13x = 264,027,006.23
  5. Step 5: Solve for x
    x = 264,027,006.23/18,719.13
  6. Step 6: Final answer
    x = 14,104.66

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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.