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Finding the Fourth Proportional to 22,609.44, 31,200.87 and 12,537.87

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Solution

The fourth proportional to 22,609.44, 31,200.87 and 12,537.87 is: 17,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.44 : 31,200.87 = 12,537.87 : x
  2. Step 2: Convert to fraction form
    22,609.44/31,200.87 = 12,537.87/x
  3. Step 3: Cross multiply
    22,609.44x = 31,200.87 × 12,537.87
  4. Step 4: Simplify right side
    22,609.44x = 391,192,451.95
  5. Step 5: Solve for x
    x = 391,192,451.95/22,609.44
  6. Step 6: Final answer
    x = 17,302.17

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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.