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Finding the Fourth Proportional to 21,602.14, 32,403.20 and 8,458.26

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Solution

The fourth proportional to 21,602.14, 32,403.20 and 8,458.26 is: 12,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.14 : 32,403.20 = 8,458.26 : x
  2. Step 2: Convert to fraction form
    21,602.14/32,403.20 = 8,458.26/x
  3. Step 3: Cross multiply
    21,602.14x = 32,403.20 × 8,458.26
  4. Step 4: Simplify right side
    21,602.14x = 274,074,690.43
  5. Step 5: Solve for x
    x = 274,074,690.43/21,602.14
  6. Step 6: Final answer
    x = 12,687.39

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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.