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Finding the Fourth Proportional to 23,147.24, 34,720.95 and 6,509.12

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Solution

The fourth proportional to 23,147.24, 34,720.95 and 6,509.12 is: 9,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.24 : 34,720.95 = 6,509.12 : x
  2. Step 2: Convert to fraction form
    23,147.24/34,720.95 = 6,509.12/x
  3. Step 3: Cross multiply
    23,147.24x = 34,720.95 × 6,509.12
  4. Step 4: Simplify right side
    23,147.24x = 226,002,830.06
  5. Step 5: Solve for x
    x = 226,002,830.06/23,147.24
  6. Step 6: Final answer
    x = 9,763.71

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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.