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Finding the Fourth Proportional to 21,831.40, 32,795.70 and 20,945.80

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Solution

The fourth proportional to 21,831.40, 32,795.70 and 20,945.80 is: 31,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.40 : 32,795.70 = 20,945.80 : x
  2. Step 2: Convert to fraction form
    21,831.40/32,795.70 = 20,945.80/x
  3. Step 3: Cross multiply
    21,831.40x = 32,795.70 × 20,945.80
  4. Step 4: Simplify right side
    21,831.40x = 686,932,173.06
  5. Step 5: Solve for x
    x = 686,932,173.06/21,831.40
  6. Step 6: Final answer
    x = 31,465.33

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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.