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Finding the Fourth Proportional to 22,584, 31,165.86 and 12,512.46

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Solution

The fourth proportional to 22,584, 31,165.86 and 12,512.46 is: 17,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584 : 31,165.86 = 12,512.46 : x
  2. Step 2: Convert to fraction form
    22,584/31,165.86 = 12,512.46/x
  3. Step 3: Cross multiply
    22,584x = 31,165.86 × 12,512.46
  4. Step 4: Simplify right side
    22,584x = 389,961,576.62
  5. Step 5: Solve for x
    x = 389,961,576.62/22,584
  6. Step 6: Final answer
    x = 17,267.16

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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.