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Finding the Fourth Proportional to 11,831.95, 17,747.86 and 2,947.24

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Solution

The fourth proportional to 11,831.95, 17,747.86 and 2,947.24 is: 4,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.95 : 17,747.86 = 2,947.24 : x
  2. Step 2: Convert to fraction form
    11,831.95/17,747.86 = 2,947.24/x
  3. Step 3: Cross multiply
    11,831.95x = 17,747.86 × 2,947.24
  4. Step 4: Simplify right side
    11,831.95x = 52,307,123.42
  5. Step 5: Solve for x
    x = 52,307,123.42/11,831.95
  6. Step 6: Final answer
    x = 4,420.84

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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.