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Finding the Fourth Proportional to 22,647.72, 31,253.68 and 12,438.64

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Solution

The fourth proportional to 22,647.72, 31,253.68 and 12,438.64 is: 17,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.72 : 31,253.68 = 12,438.64 : x
  2. Step 2: Convert to fraction form
    22,647.72/31,253.68 = 12,438.64/x
  3. Step 3: Cross multiply
    22,647.72x = 31,253.68 × 12,438.64
  4. Step 4: Simplify right side
    22,647.72x = 388,753,274.20
  5. Step 5: Solve for x
    x = 388,753,274.20/22,647.72
  6. Step 6: Final answer
    x = 17,165.23

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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.