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Finding the Fourth Proportional to 22,776.14, 31,431.12 and 12,704.32

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Solution

The fourth proportional to 22,776.14, 31,431.12 and 12,704.32 is: 17,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.14 : 31,431.12 = 12,704.32 : x
  2. Step 2: Convert to fraction form
    22,776.14/31,431.12 = 12,704.32/x
  3. Step 3: Cross multiply
    22,776.14x = 31,431.12 × 12,704.32
  4. Step 4: Simplify right side
    22,776.14x = 399,311,006.44
  5. Step 5: Solve for x
    x = 399,311,006.44/22,776.14
  6. Step 6: Final answer
    x = 17,531.99

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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.