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Finding the Fourth Proportional to 23,227, 32,053.85 and 12,616.63

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Solution

The fourth proportional to 23,227, 32,053.85 and 12,616.63 is: 17,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227 : 32,053.85 = 12,616.63 : x
  2. Step 2: Convert to fraction form
    23,227/32,053.85 = 12,616.63/x
  3. Step 3: Cross multiply
    23,227x = 32,053.85 × 12,616.63
  4. Step 4: Simplify right side
    23,227x = 404,411,502.44
  5. Step 5: Solve for x
    x = 404,411,502.44/23,227
  6. Step 6: Final answer
    x = 17,411.27

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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.