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Finding the Fourth Proportional to 27,224.37, 40,781.87 and 12,412.91

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Solution

The fourth proportional to 27,224.37, 40,781.87 and 12,412.91 is: 18,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.37 : 40,781.87 = 12,412.91 : x
  2. Step 2: Convert to fraction form
    27,224.37/40,781.87 = 12,412.91/x
  3. Step 3: Cross multiply
    27,224.37x = 40,781.87 × 12,412.91
  4. Step 4: Simplify right side
    27,224.37x = 506,221,681.94
  5. Step 5: Solve for x
    x = 506,221,681.94/27,224.37
  6. Step 6: Final answer
    x = 18,594.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.