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Finding the Fourth Proportional to 13,831.12, 19,086.28 and 7,543.12

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Solution

The fourth proportional to 13,831.12, 19,086.28 and 7,543.12 is: 10,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.12 : 19,086.28 = 7,543.12 : x
  2. Step 2: Convert to fraction form
    13,831.12/19,086.28 = 7,543.12/x
  3. Step 3: Cross multiply
    13,831.12x = 19,086.28 × 7,543.12
  4. Step 4: Simplify right side
    13,831.12x = 143,970,100.39
  5. Step 5: Solve for x
    x = 143,970,100.39/13,831.12
  6. Step 6: Final answer
    x = 10,409.14

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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.