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Finding the Fourth Proportional to 20,562.20, 30,838.68 and 9,458.21

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Solution

The fourth proportional to 20,562.20, 30,838.68 and 9,458.21 is: 14,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.20 : 30,838.68 = 9,458.21 : x
  2. Step 2: Convert to fraction form
    20,562.20/30,838.68 = 9,458.21/x
  3. Step 3: Cross multiply
    20,562.20x = 30,838.68 × 9,458.21
  4. Step 4: Simplify right side
    20,562.20x = 291,678,788.66
  5. Step 5: Solve for x
    x = 291,678,788.66/20,562.20
  6. Step 6: Final answer
    x = 14,185.19

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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.