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Finding the Fourth Proportional to 20,553.66, 30,831.35 and 6,513.38

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Solution

The fourth proportional to 20,553.66, 30,831.35 and 6,513.38 is: 9,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.66 : 30,831.35 = 6,513.38 : x
  2. Step 2: Convert to fraction form
    20,553.66/30,831.35 = 6,513.38/x
  3. Step 3: Cross multiply
    20,553.66x = 30,831.35 × 6,513.38
  4. Step 4: Simplify right side
    20,553.66x = 200,816,111.74
  5. Step 5: Solve for x
    x = 200,816,111.74/20,553.66
  6. Step 6: Final answer
    x = 9,770.34

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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.