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Finding the Fourth Proportional to 22,526.97, 31,086.74 and 12,455.84

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Solution

The fourth proportional to 22,526.97, 31,086.74 and 12,455.84 is: 17,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.97 : 31,086.74 = 12,455.84 : x
  2. Step 2: Convert to fraction form
    22,526.97/31,086.74 = 12,455.84/x
  3. Step 3: Cross multiply
    22,526.97x = 31,086.74 × 12,455.84
  4. Step 4: Simplify right side
    22,526.97x = 387,211,241.85
  5. Step 5: Solve for x
    x = 387,211,241.85/22,526.97
  6. Step 6: Final answer
    x = 17,188.78

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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.