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Finding the Fourth Proportional to 22,647.96, 31,253.70 and 12,576.18

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Solution

The fourth proportional to 22,647.96, 31,253.70 and 12,576.18 is: 17,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.96 : 31,253.70 = 12,576.18 : x
  2. Step 2: Convert to fraction form
    22,647.96/31,253.70 = 12,576.18/x
  3. Step 3: Cross multiply
    22,647.96x = 31,253.70 × 12,576.18
  4. Step 4: Simplify right side
    22,647.96x = 393,052,156.87
  5. Step 5: Solve for x
    x = 393,052,156.87/22,647.96
  6. Step 6: Final answer
    x = 17,354.86

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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.