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Finding the Fourth Proportional to 16,174.94, 22,322.39 and 9,101.88

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Solution

The fourth proportional to 16,174.94, 22,322.39 and 9,101.88 is: 12,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.94 : 22,322.39 = 9,101.88 : x
  2. Step 2: Convert to fraction form
    16,174.94/22,322.39 = 9,101.88/x
  3. Step 3: Cross multiply
    16,174.94x = 22,322.39 × 9,101.88
  4. Step 4: Simplify right side
    16,174.94x = 203,175,669.58
  5. Step 5: Solve for x
    x = 203,175,669.58/16,174.94
  6. Step 6: Final answer
    x = 12,561.14

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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.