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Finding the Fourth Proportional to 21,187.56, 31,782.86 and 5,605

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Solution

The fourth proportional to 21,187.56, 31,782.86 and 5,605 is: 8,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.56 : 31,782.86 = 5,605 : x
  2. Step 2: Convert to fraction form
    21,187.56/31,782.86 = 5,605/x
  3. Step 3: Cross multiply
    21,187.56x = 31,782.86 × 5,605
  4. Step 4: Simplify right side
    21,187.56x = 178,142,930.30
  5. Step 5: Solve for x
    x = 178,142,930.30/21,187.56
  6. Step 6: Final answer
    x = 8,407.90

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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.