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Finding the Fourth Proportional to 22,073.25, 30,461.09 and 12,137.25

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Solution

The fourth proportional to 22,073.25, 30,461.09 and 12,137.25 is: 16,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,073.25 : 30,461.09 = 12,137.25 : x
  2. Step 2: Convert to fraction form
    22,073.25/30,461.09 = 12,137.25/x
  3. Step 3: Cross multiply
    22,073.25x = 30,461.09 × 12,137.25
  4. Step 4: Simplify right side
    22,073.25x = 369,713,864.60
  5. Step 5: Solve for x
    x = 369,713,864.60/22,073.25
  6. Step 6: Final answer
    x = 16,749.41

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1.5x scale

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.