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Finding the Fourth Proportional to 16,156.85, 22,297.47 and 9,083.73

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Solution

The fourth proportional to 16,156.85, 22,297.47 and 9,083.73 is: 12,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.85 : 22,297.47 = 9,083.73 : x
  2. Step 2: Convert to fraction form
    16,156.85/22,297.47 = 9,083.73/x
  3. Step 3: Cross multiply
    16,156.85x = 22,297.47 × 9,083.73
  4. Step 4: Simplify right side
    16,156.85x = 202,544,197.16
  5. Step 5: Solve for x
    x = 202,544,197.16/16,156.85
  6. Step 6: Final answer
    x = 12,536.12

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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.