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Finding the Fourth Proportional to 16,145.94, 22,277.46 and 9,427.68

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Solution

The fourth proportional to 16,145.94, 22,277.46 and 9,427.68 is: 13,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.94 : 22,277.46 = 9,427.68 : x
  2. Step 2: Convert to fraction form
    16,145.94/22,277.46 = 9,427.68/x
  3. Step 3: Cross multiply
    16,145.94x = 22,277.46 × 9,427.68
  4. Step 4: Simplify right side
    16,145.94x = 210,024,764.09
  5. Step 5: Solve for x
    x = 210,024,764.09/16,145.94
  6. Step 6: Final answer
    x = 13,007.90

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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.