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Finding the Fourth Proportional to 21,902.86, 30,225.92 and 11,831.32

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Solution

The fourth proportional to 21,902.86, 30,225.92 and 11,831.32 is: 16,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.86 : 30,225.92 = 11,831.32 : x
  2. Step 2: Convert to fraction form
    21,902.86/30,225.92 = 11,831.32/x
  3. Step 3: Cross multiply
    21,902.86x = 30,225.92 × 11,831.32
  4. Step 4: Simplify right side
    21,902.86x = 357,612,531.81
  5. Step 5: Solve for x
    x = 357,612,531.81/21,902.86
  6. Step 6: Final answer
    x = 16,327.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.