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Finding the Fourth Proportional to 17,624.10, 24,322 and 10,549.14

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Solution

The fourth proportional to 17,624.10, 24,322 and 10,549.14 is: 14,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.10 : 24,322 = 10,549.14 : x
  2. Step 2: Convert to fraction form
    17,624.10/24,322 = 10,549.14/x
  3. Step 3: Cross multiply
    17,624.10x = 24,322 × 10,549.14
  4. Step 4: Simplify right side
    17,624.10x = 256,576,183.08
  5. Step 5: Solve for x
    x = 256,576,183.08/17,624.10
  6. Step 6: Final answer
    x = 14,558.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.