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Finding the Fourth Proportional to 12,614.74, 17,282.29 and 12,141.80

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Solution

The fourth proportional to 12,614.74, 17,282.29 and 12,141.80 is: 16,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.74 : 17,282.29 = 12,141.80 : x
  2. Step 2: Convert to fraction form
    12,614.74/17,282.29 = 12,141.80/x
  3. Step 3: Cross multiply
    12,614.74x = 17,282.29 × 12,141.80
  4. Step 4: Simplify right side
    12,614.74x = 209,838,048.01
  5. Step 5: Solve for x
    x = 209,838,048.01/12,614.74
  6. Step 6: Final answer
    x = 16,634.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.