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Finding the Fourth Proportional to 21,228.57, 31,842.90 and 5,646.20

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Solution

The fourth proportional to 21,228.57, 31,842.90 and 5,646.20 is: 8,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.57 : 31,842.90 = 5,646.20 : x
  2. Step 2: Convert to fraction form
    21,228.57/31,842.90 = 5,646.20/x
  3. Step 3: Cross multiply
    21,228.57x = 31,842.90 × 5,646.20
  4. Step 4: Simplify right side
    21,228.57x = 179,791,222.77
  5. Step 5: Solve for x
    x = 179,791,222.77/21,228.57
  6. Step 6: Final answer
    x = 8,469.30

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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.