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Finding the Fourth Proportional to 16,127.67, 22,256.21 and 9,054.14

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Solution

The fourth proportional to 16,127.67, 22,256.21 and 9,054.14 is: 12,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127.67 : 22,256.21 = 9,054.14 : x
  2. Step 2: Convert to fraction form
    16,127.67/22,256.21 = 9,054.14/x
  3. Step 3: Cross multiply
    16,127.67x = 22,256.21 × 9,054.14
  4. Step 4: Simplify right side
    16,127.67x = 201,510,919.49
  5. Step 5: Solve for x
    x = 201,510,919.49/16,127.67
  6. Step 6: Final answer
    x = 12,494.73

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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.