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Finding the Fourth Proportional to 17,867.84, 24,659.13 and 9,912.63

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Solution

The fourth proportional to 17,867.84, 24,659.13 and 9,912.63 is: 13,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.84 : 24,659.13 = 9,912.63 : x
  2. Step 2: Convert to fraction form
    17,867.84/24,659.13 = 9,912.63/x
  3. Step 3: Cross multiply
    17,867.84x = 24,659.13 × 9,912.63
  4. Step 4: Simplify right side
    17,867.84x = 244,436,831.81
  5. Step 5: Solve for x
    x = 244,436,831.81/17,867.84
  6. Step 6: Final answer
    x = 13,680.27

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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.