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Finding the Fourth Proportional to 22,676.84, 31,293.90 and 12,605.12

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Solution

The fourth proportional to 22,676.84, 31,293.90 and 12,605.12 is: 17,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.84 : 31,293.90 = 12,605.12 : x
  2. Step 2: Convert to fraction form
    22,676.84/31,293.90 = 12,605.12/x
  3. Step 3: Cross multiply
    22,676.84x = 31,293.90 × 12,605.12
  4. Step 4: Simplify right side
    22,676.84x = 394,463,364.77
  5. Step 5: Solve for x
    x = 394,463,364.77/22,676.84
  6. Step 6: Final answer
    x = 17,394.99

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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.