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Finding the Fourth Proportional to 21,002.80, 31,493.26 and 9,906.51

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Solution

The fourth proportional to 21,002.80, 31,493.26 and 9,906.51 is: 14,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.80 : 31,493.26 = 9,906.51 : x
  2. Step 2: Convert to fraction form
    21,002.80/31,493.26 = 9,906.51/x
  3. Step 3: Cross multiply
    21,002.80x = 31,493.26 × 9,906.51
  4. Step 4: Simplify right side
    21,002.80x = 311,988,295.12
  5. Step 5: Solve for x
    x = 311,988,295.12/21,002.80
  6. Step 6: Final answer
    x = 14,854.60

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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.