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Finding the Fourth Proportional to 22,296.21, 33,455.21 and 9,814.68

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Solution

The fourth proportional to 22,296.21, 33,455.21 and 9,814.68 is: 14,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.21 : 33,455.21 = 9,814.68 : x
  2. Step 2: Convert to fraction form
    22,296.21/33,455.21 = 9,814.68/x
  3. Step 3: Cross multiply
    22,296.21x = 33,455.21 × 9,814.68
  4. Step 4: Simplify right side
    22,296.21x = 328,352,180.48
  5. Step 5: Solve for x
    x = 328,352,180.48/22,296.21
  6. Step 6: Final answer
    x = 14,726.82

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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.