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Finding the Fourth Proportional to 22,723.42, 31,358.07 and 12,651.64

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Solution

The fourth proportional to 22,723.42, 31,358.07 and 12,651.64 is: 17,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723.42 : 31,358.07 = 12,651.64 : x
  2. Step 2: Convert to fraction form
    22,723.42/31,358.07 = 12,651.64/x
  3. Step 3: Cross multiply
    22,723.42x = 31,358.07 × 12,651.64
  4. Step 4: Simplify right side
    22,723.42x = 396,731,012.73
  5. Step 5: Solve for x
    x = 396,731,012.73/22,723.42
  6. Step 6: Final answer
    x = 17,459.12

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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.