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Finding the Fourth Proportional to 21,114.30, 31,707.90 and 11,272.80

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Solution

The fourth proportional to 21,114.30, 31,707.90 and 11,272.80 is: 16,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.30 : 31,707.90 = 11,272.80 : x
  2. Step 2: Convert to fraction form
    21,114.30/31,707.90 = 11,272.80/x
  3. Step 3: Cross multiply
    21,114.30x = 31,707.90 × 11,272.80
  4. Step 4: Simplify right side
    21,114.30x = 357,436,815.12
  5. Step 5: Solve for x
    x = 357,436,815.12/21,114.30
  6. Step 6: Final answer
    x = 16,928.66

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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.