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Finding the Fourth Proportional to 19,831.20, 29,727.84 and 7,347.87

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Solution

The fourth proportional to 19,831.20, 29,727.84 and 7,347.87 is: 11,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.20 : 29,727.84 = 7,347.87 : x
  2. Step 2: Convert to fraction form
    19,831.20/29,727.84 = 7,347.87/x
  3. Step 3: Cross multiply
    19,831.20x = 29,727.84 × 7,347.87
  4. Step 4: Simplify right side
    19,831.20x = 218,436,303.70
  5. Step 5: Solve for x
    x = 218,436,303.70/19,831.20
  6. Step 6: Final answer
    x = 11,014.78

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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.