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Finding the Fourth Proportional to 22,608.74, 31,200 and 12,537.26

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Solution

The fourth proportional to 22,608.74, 31,200 and 12,537.26 is: 17,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.74 : 31,200 = 12,537.26 : x
  2. Step 2: Convert to fraction form
    22,608.74/31,200 = 12,537.26/x
  3. Step 3: Cross multiply
    22,608.74x = 31,200 × 12,537.26
  4. Step 4: Simplify right side
    22,608.74x = 391,162,512
  5. Step 5: Solve for x
    x = 391,162,512/22,608.74
  6. Step 6: Final answer
    x = 17,301.38

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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.