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Finding the Fourth Proportional to 22,506.96, 31,060.77 and 12,435.32

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Solution

The fourth proportional to 22,506.96, 31,060.77 and 12,435.32 is: 17,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.96 : 31,060.77 = 12,435.32 : x
  2. Step 2: Convert to fraction form
    22,506.96/31,060.77 = 12,435.32/x
  3. Step 3: Cross multiply
    22,506.96x = 31,060.77 × 12,435.32
  4. Step 4: Simplify right side
    22,506.96x = 386,250,645.42
  5. Step 5: Solve for x
    x = 386,250,645.42/22,506.96
  6. Step 6: Final answer
    x = 17,161.38

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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.