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Finding the Fourth Proportional to 24,196.10, 36,298.42 and 11,049.80

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Solution

The fourth proportional to 24,196.10, 36,298.42 and 11,049.80 is: 16,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.10 : 36,298.42 = 11,049.80 : x
  2. Step 2: Convert to fraction form
    24,196.10/36,298.42 = 11,049.80/x
  3. Step 3: Cross multiply
    24,196.10x = 36,298.42 × 11,049.80
  4. Step 4: Simplify right side
    24,196.10x = 401,090,281.32
  5. Step 5: Solve for x
    x = 401,090,281.32/24,196.10
  6. Step 6: Final answer
    x = 16,576.65

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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.