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Finding the Fourth Proportional to 22,676.96, 31,293.80 and 12,605.22

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Solution

The fourth proportional to 22,676.96, 31,293.80 and 12,605.22 is: 17,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.96 : 31,293.80 = 12,605.22 : x
  2. Step 2: Convert to fraction form
    22,676.96/31,293.80 = 12,605.22/x
  3. Step 3: Cross multiply
    22,676.96x = 31,293.80 × 12,605.22
  4. Step 4: Simplify right side
    22,676.96x = 394,465,233.64
  5. Step 5: Solve for x
    x = 394,465,233.64/22,676.96
  6. Step 6: Final answer
    x = 17,394.98

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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.