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Finding the Fourth Proportional to 21,221.54, 31,831.50 and 7,182.62

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Solution

The fourth proportional to 21,221.54, 31,831.50 and 7,182.62 is: 10,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.54 : 31,831.50 = 7,182.62 : x
  2. Step 2: Convert to fraction form
    21,221.54/31,831.50 = 7,182.62/x
  3. Step 3: Cross multiply
    21,221.54x = 31,831.50 × 7,182.62
  4. Step 4: Simplify right side
    21,221.54x = 228,633,568.53
  5. Step 5: Solve for x
    x = 228,633,568.53/21,221.54
  6. Step 6: Final answer
    x = 10,773.66

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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.