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Finding the Fourth Proportional to 21,826.69, 32,742.45 and 7,789.99

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Solution

The fourth proportional to 21,826.69, 32,742.45 and 7,789.99 is: 11,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.69 : 32,742.45 = 7,789.99 : x
  2. Step 2: Convert to fraction form
    21,826.69/32,742.45 = 7,789.99/x
  3. Step 3: Cross multiply
    21,826.69x = 32,742.45 × 7,789.99
  4. Step 4: Simplify right side
    21,826.69x = 255,063,358.08
  5. Step 5: Solve for x
    x = 255,063,358.08/21,826.69
  6. Step 6: Final answer
    x = 11,685.85

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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.