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Finding the Fourth Proportional to 23,363.44, 32,242 and 12,754

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Solution

The fourth proportional to 23,363.44, 32,242 and 12,754 is: 17,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,363.44 : 32,242 = 12,754 : x
  2. Step 2: Convert to fraction form
    23,363.44/32,242 = 12,754/x
  3. Step 3: Cross multiply
    23,363.44x = 32,242 × 12,754
  4. Step 4: Simplify right side
    23,363.44x = 411,214,468
  5. Step 5: Solve for x
    x = 411,214,468/23,363.44
  6. Step 6: Final answer
    x = 17,600.77

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Why These Related Problems?

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