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Finding the Fourth Proportional to 21,187.86, 31,783.14 and 7,149.30

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Solution

The fourth proportional to 21,187.86, 31,783.14 and 7,149.30 is: 10,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.86 : 31,783.14 = 7,149.30 : x
  2. Step 2: Convert to fraction form
    21,187.86/31,783.14 = 7,149.30/x
  3. Step 3: Cross multiply
    21,187.86x = 31,783.14 × 7,149.30
  4. Step 4: Simplify right side
    21,187.86x = 227,227,202.80
  5. Step 5: Solve for x
    x = 227,227,202.80/21,187.86
  6. Step 6: Final answer
    x = 10,724.41

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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.