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Finding the Fourth Proportional to 16,120.54, 24,188.25 and 7,358.14

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Solution

The fourth proportional to 16,120.54, 24,188.25 and 7,358.14 is: 11,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120.54 : 24,188.25 = 7,358.14 : x
  2. Step 2: Convert to fraction form
    16,120.54/24,188.25 = 7,358.14/x
  3. Step 3: Cross multiply
    16,120.54x = 24,188.25 × 7,358.14
  4. Step 4: Simplify right side
    16,120.54x = 177,980,529.86
  5. Step 5: Solve for x
    x = 177,980,529.86/16,120.54
  6. Step 6: Final answer
    x = 11,040.61

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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.