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Finding the Fourth Proportional to 12,681.42, 19,027.59 and 6,831.18

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Solution

The fourth proportional to 12,681.42, 19,027.59 and 6,831.18 is: 10,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.42 : 19,027.59 = 6,831.18 : x
  2. Step 2: Convert to fraction form
    12,681.42/19,027.59 = 6,831.18/x
  3. Step 3: Cross multiply
    12,681.42x = 19,027.59 × 6,831.18
  4. Step 4: Simplify right side
    12,681.42x = 129,980,892.26
  5. Step 5: Solve for x
    x = 129,980,892.26/12,681.42
  6. Step 6: Final answer
    x = 10,249.71

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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.