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Finding the Fourth Proportional to 21,149.34, 31,720.96 and 5,566.96

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Solution

The fourth proportional to 21,149.34, 31,720.96 and 5,566.96 is: 8,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.34 : 31,720.96 = 5,566.96 : x
  2. Step 2: Convert to fraction form
    21,149.34/31,720.96 = 5,566.96/x
  3. Step 3: Cross multiply
    21,149.34x = 31,720.96 × 5,566.96
  4. Step 4: Simplify right side
    21,149.34x = 176,589,315.48
  5. Step 5: Solve for x
    x = 176,589,315.48/21,149.34
  6. Step 6: Final answer
    x = 8,349.64

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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.