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Finding the Fourth Proportional to 22,676.38, 31,292.73 and 12,985.52

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Solution

The fourth proportional to 22,676.38, 31,292.73 and 12,985.52 is: 17,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.38 : 31,292.73 = 12,985.52 : x
  2. Step 2: Convert to fraction form
    22,676.38/31,292.73 = 12,985.52/x
  3. Step 3: Cross multiply
    22,676.38x = 31,292.73 × 12,985.52
  4. Step 4: Simplify right side
    22,676.38x = 406,352,214.81
  5. Step 5: Solve for x
    x = 406,352,214.81/22,676.38
  6. Step 6: Final answer
    x = 17,919.63

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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.