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Finding the Fourth Proportional to 16,122.81, 22,249.46 and 9,407.14

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Solution

The fourth proportional to 16,122.81, 22,249.46 and 9,407.14 is: 12,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.81 : 22,249.46 = 9,407.14 : x
  2. Step 2: Convert to fraction form
    16,122.81/22,249.46 = 9,407.14/x
  3. Step 3: Cross multiply
    16,122.81x = 22,249.46 × 9,407.14
  4. Step 4: Simplify right side
    16,122.81x = 209,303,785.14
  5. Step 5: Solve for x
    x = 209,303,785.14/16,122.81
  6. Step 6: Final answer
    x = 12,981.84

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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.