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Finding the Fourth Proportional to 16,171.36, 24,238.24 and 7,407.20

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Solution

The fourth proportional to 16,171.36, 24,238.24 and 7,407.20 is: 11,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.36 : 24,238.24 = 7,407.20 : x
  2. Step 2: Convert to fraction form
    16,171.36/24,238.24 = 7,407.20/x
  3. Step 3: Cross multiply
    16,171.36x = 24,238.24 × 7,407.20
  4. Step 4: Simplify right side
    16,171.36x = 179,537,491.33
  5. Step 5: Solve for x
    x = 179,537,491.33/16,171.36
  6. Step 6: Final answer
    x = 11,102.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.