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Finding the Fourth Proportional to 17,720.72, 24,431.78 and 14,522.30

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Solution

The fourth proportional to 17,720.72, 24,431.78 and 14,522.30 is: 20,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.72 : 24,431.78 = 14,522.30 : x
  2. Step 2: Convert to fraction form
    17,720.72/24,431.78 = 14,522.30/x
  3. Step 3: Cross multiply
    17,720.72x = 24,431.78 × 14,522.30
  4. Step 4: Simplify right side
    17,720.72x = 354,805,443.92
  5. Step 5: Solve for x
    x = 354,805,443.92/17,720.72
  6. Step 6: Final answer
    x = 20,022.07

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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.