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Finding the Fourth Proportional to 22,467.96, 31,005.96 and 12,396.77

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Solution

The fourth proportional to 22,467.96, 31,005.96 and 12,396.77 is: 17,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.96 : 31,005.96 = 12,396.77 : x
  2. Step 2: Convert to fraction form
    22,467.96/31,005.96 = 12,396.77/x
  3. Step 3: Cross multiply
    22,467.96x = 31,005.96 × 12,396.77
  4. Step 4: Simplify right side
    22,467.96x = 384,373,832.26
  5. Step 5: Solve for x
    x = 384,373,832.26/22,467.96
  6. Step 6: Final answer
    x = 17,107.64

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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.