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Finding the Fourth Proportional to 23,214, 34,774.88 and 11,491.44

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Solution

The fourth proportional to 23,214, 34,774.88 and 11,491.44 is: 17,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 34,774.88 = 11,491.44 : x
  2. Step 2: Convert to fraction form
    23,214/34,774.88 = 11,491.44/x
  3. Step 3: Cross multiply
    23,214x = 34,774.88 × 11,491.44
  4. Step 4: Simplify right side
    23,214x = 399,613,447.03
  5. Step 5: Solve for x
    x = 399,613,447.03/23,214
  6. Step 6: Final answer
    x = 17,214.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.