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Finding the Fourth Proportional to 11,549.64, 17,324.52 and 4,624.20

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Solution

The fourth proportional to 11,549.64, 17,324.52 and 4,624.20 is: 6,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.64 : 17,324.52 = 4,624.20 : x
  2. Step 2: Convert to fraction form
    11,549.64/17,324.52 = 4,624.20/x
  3. Step 3: Cross multiply
    11,549.64x = 17,324.52 × 4,624.20
  4. Step 4: Simplify right side
    11,549.64x = 80,112,045.38
  5. Step 5: Solve for x
    x = 80,112,045.38/11,549.64
  6. Step 6: Final answer
    x = 6,936.32

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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.