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Finding the Fourth Proportional to 17,774.78, 24,530.64 and 10,223.55

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Solution

The fourth proportional to 17,774.78, 24,530.64 and 10,223.55 is: 14,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.78 : 24,530.64 = 10,223.55 : x
  2. Step 2: Convert to fraction form
    17,774.78/24,530.64 = 10,223.55/x
  3. Step 3: Cross multiply
    17,774.78x = 24,530.64 × 10,223.55
  4. Step 4: Simplify right side
    17,774.78x = 250,790,224.57
  5. Step 5: Solve for x
    x = 250,790,224.57/17,774.78
  6. Step 6: Final answer
    x = 14,109.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.