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Finding the Fourth Proportional to 22,483.29, 33,745.64 and 11,397.74

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Solution

The fourth proportional to 22,483.29, 33,745.64 and 11,397.74 is: 17,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.29 : 33,745.64 = 11,397.74 : x
  2. Step 2: Convert to fraction form
    22,483.29/33,745.64 = 11,397.74/x
  3. Step 3: Cross multiply
    22,483.29x = 33,745.64 × 11,397.74
  4. Step 4: Simplify right side
    22,483.29x = 384,623,805.14
  5. Step 5: Solve for x
    x = 384,623,805.14/22,483.29
  6. Step 6: Final answer
    x = 17,107.10

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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.