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Finding the Fourth Proportional to 22,937.67, 31,651.97 and 12,866.67

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Solution

The fourth proportional to 22,937.67, 31,651.97 and 12,866.67 is: 17,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.67 : 31,651.97 = 12,866.67 : x
  2. Step 2: Convert to fraction form
    22,937.67/31,651.97 = 12,866.67/x
  3. Step 3: Cross multiply
    22,937.67x = 31,651.97 × 12,866.67
  4. Step 4: Simplify right side
    22,937.67x = 407,255,388.51
  5. Step 5: Solve for x
    x = 407,255,388.51/22,937.67
  6. Step 6: Final answer
    x = 17,754.87

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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.