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Finding the Fourth Proportional to 13,415.30, 20,101.35 and 6,831.62

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Solution

The fourth proportional to 13,415.30, 20,101.35 and 6,831.62 is: 10,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.30 : 20,101.35 = 6,831.62 : x
  2. Step 2: Convert to fraction form
    13,415.30/20,101.35 = 6,831.62/x
  3. Step 3: Cross multiply
    13,415.30x = 20,101.35 × 6,831.62
  4. Step 4: Simplify right side
    13,415.30x = 137,324,784.69
  5. Step 5: Solve for x
    x = 137,324,784.69/13,415.30
  6. Step 6: Final answer
    x = 10,236.43

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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.