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Finding the Fourth Proportional to 23,831.35, 35,747.96 and 7,191.38

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Solution

The fourth proportional to 23,831.35, 35,747.96 and 7,191.38 is: 10,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.35 : 35,747.96 = 7,191.38 : x
  2. Step 2: Convert to fraction form
    23,831.35/35,747.96 = 7,191.38/x
  3. Step 3: Cross multiply
    23,831.35x = 35,747.96 × 7,191.38
  4. Step 4: Simplify right side
    23,831.35x = 257,077,218.00
  5. Step 5: Solve for x
    x = 257,077,218.00/23,831.35
  6. Step 6: Final answer
    x = 10,787.36

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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.