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Finding the Fourth Proportional to 16,137.88, 22,270.26 and 9,064.30

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Solution

The fourth proportional to 16,137.88, 22,270.26 and 9,064.30 is: 12,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.88 : 22,270.26 = 9,064.30 : x
  2. Step 2: Convert to fraction form
    16,137.88/22,270.26 = 9,064.30/x
  3. Step 3: Cross multiply
    16,137.88x = 22,270.26 × 9,064.30
  4. Step 4: Simplify right side
    16,137.88x = 201,864,317.72
  5. Step 5: Solve for x
    x = 201,864,317.72/16,137.88
  6. Step 6: Final answer
    x = 12,508.73

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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.