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Finding the Fourth Proportional to 21,625.83, 32,451.71 and 7,775.91

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Solution

The fourth proportional to 21,625.83, 32,451.71 and 7,775.91 is: 11,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,625.83 : 32,451.71 = 7,775.91 : x
  2. Step 2: Convert to fraction form
    21,625.83/32,451.71 = 7,775.91/x
  3. Step 3: Cross multiply
    21,625.83x = 32,451.71 × 7,775.91
  4. Step 4: Simplify right side
    21,625.83x = 252,341,537.43
  5. Step 5: Solve for x
    x = 252,341,537.43/21,625.83
  6. Step 6: Final answer
    x = 11,668.52

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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.