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Finding the Fourth Proportional to 18,719.22, 25,831.41 and 10,219.65

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Solution

The fourth proportional to 18,719.22, 25,831.41 and 10,219.65 is: 14,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719.22 : 25,831.41 = 10,219.65 : x
  2. Step 2: Convert to fraction form
    18,719.22/25,831.41 = 10,219.65/x
  3. Step 3: Cross multiply
    18,719.22x = 25,831.41 × 10,219.65
  4. Step 4: Simplify right side
    18,719.22x = 263,987,969.21
  5. Step 5: Solve for x
    x = 263,987,969.21/18,719.22
  6. Step 6: Final answer
    x = 14,102.51

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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.