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Finding the Fourth Proportional to 22,677.86, 31,294.89 and 12,606.20

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Solution

The fourth proportional to 22,677.86, 31,294.89 and 12,606.20 is: 17,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.86 : 31,294.89 = 12,606.20 : x
  2. Step 2: Convert to fraction form
    22,677.86/31,294.89 = 12,606.20/x
  3. Step 3: Cross multiply
    22,677.86x = 31,294.89 × 12,606.20
  4. Step 4: Simplify right side
    22,677.86x = 394,509,485.84
  5. Step 5: Solve for x
    x = 394,509,485.84/22,677.86
  6. Step 6: Final answer
    x = 17,396.24

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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.