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Finding the Fourth Proportional to 12,549.84, 18,831.36 and 5,974.80

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Solution

The fourth proportional to 12,549.84, 18,831.36 and 5,974.80 is: 8,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.84 : 18,831.36 = 5,974.80 : x
  2. Step 2: Convert to fraction form
    12,549.84/18,831.36 = 5,974.80/x
  3. Step 3: Cross multiply
    12,549.84x = 18,831.36 × 5,974.80
  4. Step 4: Simplify right side
    12,549.84x = 112,513,609.73
  5. Step 5: Solve for x
    x = 112,513,609.73/12,549.84
  6. Step 6: Final answer
    x = 8,965.34

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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.