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Finding the Fourth Proportional to 22,519.96, 31,076.94 and 12,310.59

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Solution

The fourth proportional to 22,519.96, 31,076.94 and 12,310.59 is: 16,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.96 : 31,076.94 = 12,310.59 : x
  2. Step 2: Convert to fraction form
    22,519.96/31,076.94 = 12,310.59/x
  3. Step 3: Cross multiply
    22,519.96x = 31,076.94 × 12,310.59
  4. Step 4: Simplify right side
    22,519.96x = 382,575,466.79
  5. Step 5: Solve for x
    x = 382,575,466.79/22,519.96
  6. Step 6: Final answer
    x = 16,988.28

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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.