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Finding the Fourth Proportional to 21,508.86, 32,269.26 and 9,025.92

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Solution

The fourth proportional to 21,508.86, 32,269.26 and 9,025.92 is: 13,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.86 : 32,269.26 = 9,025.92 : x
  2. Step 2: Convert to fraction form
    21,508.86/32,269.26 = 9,025.92/x
  3. Step 3: Cross multiply
    21,508.86x = 32,269.26 × 9,025.92
  4. Step 4: Simplify right side
    21,508.86x = 291,259,759.22
  5. Step 5: Solve for x
    x = 291,259,759.22/21,508.86
  6. Step 6: Final answer
    x = 13,541.39

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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.