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Finding the Fourth Proportional to 21,189.56, 31,785.86 and 5,607

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Solution

The fourth proportional to 21,189.56, 31,785.86 and 5,607 is: 8,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.56 : 31,785.86 = 5,607 : x
  2. Step 2: Convert to fraction form
    21,189.56/31,785.86 = 5,607/x
  3. Step 3: Cross multiply
    21,189.56x = 31,785.86 × 5,607
  4. Step 4: Simplify right side
    21,189.56x = 178,223,317.02
  5. Step 5: Solve for x
    x = 178,223,317.02/21,189.56
  6. Step 6: Final answer
    x = 8,410.90

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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.