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Finding the Fourth Proportional to 21,003.99, 31,509.05 and 7,677.64

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Solution

The fourth proportional to 21,003.99, 31,509.05 and 7,677.64 is: 11,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.99 : 31,509.05 = 7,677.64 : x
  2. Step 2: Convert to fraction form
    21,003.99/31,509.05 = 7,677.64/x
  3. Step 3: Cross multiply
    21,003.99x = 31,509.05 × 7,677.64
  4. Step 4: Simplify right side
    21,003.99x = 241,915,142.64
  5. Step 5: Solve for x
    x = 241,915,142.64/21,003.99
  6. Step 6: Final answer
    x = 11,517.58

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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.