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Finding the Fourth Proportional to 16,831.13, 25,245.78 and 5,143.43

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Solution

The fourth proportional to 16,831.13, 25,245.78 and 5,143.43 is: 7,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.13 : 25,245.78 = 5,143.43 : x
  2. Step 2: Convert to fraction form
    16,831.13/25,245.78 = 5,143.43/x
  3. Step 3: Cross multiply
    16,831.13x = 25,245.78 × 5,143.43
  4. Step 4: Simplify right side
    16,831.13x = 129,849,902.23
  5. Step 5: Solve for x
    x = 129,849,902.23/16,831.13
  6. Step 6: Final answer
    x = 7,714.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.