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Finding the Fourth Proportional to 19,831.20, 29,720.88 and 8,131.20

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Solution

The fourth proportional to 19,831.20, 29,720.88 and 8,131.20 is: 12,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.20 : 29,720.88 = 8,131.20 : x
  2. Step 2: Convert to fraction form
    19,831.20/29,720.88 = 8,131.20/x
  3. Step 3: Cross multiply
    19,831.20x = 29,720.88 × 8,131.20
  4. Step 4: Simplify right side
    19,831.20x = 241,666,419.46
  5. Step 5: Solve for x
    x = 241,666,419.46/19,831.20
  6. Step 6: Final answer
    x = 12,186.17

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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.