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Finding the Fourth Proportional to 21,187.56, 31,785.90 and 7,147.93

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Solution

The fourth proportional to 21,187.56, 31,785.90 and 7,147.93 is: 10,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.56 : 31,785.90 = 7,147.93 : x
  2. Step 2: Convert to fraction form
    21,187.56/31,785.90 = 7,147.93/x
  3. Step 3: Cross multiply
    21,187.56x = 31,785.90 × 7,147.93
  4. Step 4: Simplify right side
    21,187.56x = 227,203,388.19
  5. Step 5: Solve for x
    x = 227,203,388.19/21,187.56
  6. Step 6: Final answer
    x = 10,723.43

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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.