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Finding the Fourth Proportional to 21,922.86, 30,246.37 and 13,416.11

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Solution

The fourth proportional to 21,922.86, 30,246.37 and 13,416.11 is: 18,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.86 : 30,246.37 = 13,416.11 : x
  2. Step 2: Convert to fraction form
    21,922.86/30,246.37 = 13,416.11/x
  3. Step 3: Cross multiply
    21,922.86x = 30,246.37 × 13,416.11
  4. Step 4: Simplify right side
    21,922.86x = 405,788,593.41
  5. Step 5: Solve for x
    x = 405,788,593.41/21,922.86
  6. Step 6: Final answer
    x = 18,509.84

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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.