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Finding the Fourth Proportional to 22,797.26, 31,460.72 and 12,588.26

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Solution

The fourth proportional to 22,797.26, 31,460.72 and 12,588.26 is: 17,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.26 : 31,460.72 = 12,588.26 : x
  2. Step 2: Convert to fraction form
    22,797.26/31,460.72 = 12,588.26/x
  3. Step 3: Cross multiply
    22,797.26x = 31,460.72 × 12,588.26
  4. Step 4: Simplify right side
    22,797.26x = 396,035,502.90
  5. Step 5: Solve for x
    x = 396,035,502.90/22,797.26
  6. Step 6: Final answer
    x = 17,372.07

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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.