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Finding the Fourth Proportional to 21,599.77, 32,403.74 and 8,451.31

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Solution

The fourth proportional to 21,599.77, 32,403.74 and 8,451.31 is: 12,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599.77 : 32,403.74 = 8,451.31 : x
  2. Step 2: Convert to fraction form
    21,599.77/32,403.74 = 8,451.31/x
  3. Step 3: Cross multiply
    21,599.77x = 32,403.74 × 8,451.31
  4. Step 4: Simplify right side
    21,599.77x = 273,854,051.90
  5. Step 5: Solve for x
    x = 273,854,051.90/21,599.77
  6. Step 6: Final answer
    x = 12,678.56

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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.