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Finding the Fourth Proportional to 12,496.96, 17,245.84 and 6,831.78

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Solution

The fourth proportional to 12,496.96, 17,245.84 and 6,831.78 is: 9,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.96 : 17,245.84 = 6,831.78 : x
  2. Step 2: Convert to fraction form
    12,496.96/17,245.84 = 6,831.78/x
  3. Step 3: Cross multiply
    12,496.96x = 17,245.84 × 6,831.78
  4. Step 4: Simplify right side
    12,496.96x = 117,819,681.49
  5. Step 5: Solve for x
    x = 117,819,681.49/12,496.96
  6. Step 6: Final answer
    x = 9,427.87

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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.