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Finding the Fourth Proportional to 13,922.25, 20,831.06 and 9,770.37

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Solution

The fourth proportional to 13,922.25, 20,831.06 and 9,770.37 is: 14,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.25 : 20,831.06 = 9,770.37 : x
  2. Step 2: Convert to fraction form
    13,922.25/20,831.06 = 9,770.37/x
  3. Step 3: Cross multiply
    13,922.25x = 20,831.06 × 9,770.37
  4. Step 4: Simplify right side
    13,922.25x = 203,527,114.84
  5. Step 5: Solve for x
    x = 203,527,114.84/13,922.25
  6. Step 6: Final answer
    x = 14,618.84

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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.