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Finding the Fourth Proportional to 22,493.47, 31,045.32 and 12,939.78

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Solution

The fourth proportional to 22,493.47, 31,045.32 and 12,939.78 is: 17,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.47 : 31,045.32 = 12,939.78 : x
  2. Step 2: Convert to fraction form
    22,493.47/31,045.32 = 12,939.78/x
  3. Step 3: Cross multiply
    22,493.47x = 31,045.32 × 12,939.78
  4. Step 4: Simplify right side
    22,493.47x = 401,719,554.44
  5. Step 5: Solve for x
    x = 401,719,554.44/22,493.47
  6. Step 6: Final answer
    x = 17,859.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.