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Finding the Fourth Proportional to 16,189.57, 24,276.00 and 7,416.97

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Solution

The fourth proportional to 16,189.57, 24,276.00 and 7,416.97 is: 11,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.57 : 24,276.00 = 7,416.97 : x
  2. Step 2: Convert to fraction form
    16,189.57/24,276.00 = 7,416.97/x
  3. Step 3: Cross multiply
    16,189.57x = 24,276.00 × 7,416.97
  4. Step 4: Simplify right side
    16,189.57x = 180,054,330.84
  5. Step 5: Solve for x
    x = 180,054,330.84/16,189.57
  6. Step 6: Final answer
    x = 11,121.62

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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.