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Finding the Fourth Proportional to 21,521.76, 32,284.49 and 5,939.38

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Solution

The fourth proportional to 21,521.76, 32,284.49 and 5,939.38 is: 8,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.76 : 32,284.49 = 5,939.38 : x
  2. Step 2: Convert to fraction form
    21,521.76/32,284.49 = 5,939.38/x
  3. Step 3: Cross multiply
    21,521.76x = 32,284.49 × 5,939.38
  4. Step 4: Simplify right side
    21,521.76x = 191,749,854.22
  5. Step 5: Solve for x
    x = 191,749,854.22/21,521.76
  6. Step 6: Final answer
    x = 8,909.58

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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.