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Finding the Fourth Proportional to 22,997.50, 31,736.28 and 12,927.63

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Solution

The fourth proportional to 22,997.50, 31,736.28 and 12,927.63 is: 17,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.50 : 31,736.28 = 12,927.63 : x
  2. Step 2: Convert to fraction form
    22,997.50/31,736.28 = 12,927.63/x
  3. Step 3: Cross multiply
    22,997.50x = 31,736.28 × 12,927.63
  4. Step 4: Simplify right side
    22,997.50x = 410,274,885.42
  5. Step 5: Solve for x
    x = 410,274,885.42/22,997.50
  6. Step 6: Final answer
    x = 17,839.98

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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.