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Finding the Fourth Proportional to 22,588, 31,171.44 and 12,652

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Solution

The fourth proportional to 22,588, 31,171.44 and 12,652 is: 17,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588 : 31,171.44 = 12,652 : x
  2. Step 2: Convert to fraction form
    22,588/31,171.44 = 12,652/x
  3. Step 3: Cross multiply
    22,588x = 31,171.44 × 12,652
  4. Step 4: Simplify right side
    22,588x = 394,381,058.88
  5. Step 5: Solve for x
    x = 394,381,058.88/22,588
  6. Step 6: Final answer
    x = 17,459.76

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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.