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Finding the Fourth Proportional to 20,458.29, 30,689.18 and 5,667.21

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Solution

The fourth proportional to 20,458.29, 30,689.18 and 5,667.21 is: 8,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.29 : 30,689.18 = 5,667.21 : x
  2. Step 2: Convert to fraction form
    20,458.29/30,689.18 = 5,667.21/x
  3. Step 3: Cross multiply
    20,458.29x = 30,689.18 × 5,667.21
  4. Step 4: Simplify right side
    20,458.29x = 173,921,999.45
  5. Step 5: Solve for x
    x = 173,921,999.45/20,458.29
  6. Step 6: Final answer
    x = 8,501.30

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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.