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Finding the Fourth Proportional to 15,647.92, 23,464.86 and 9,325.78

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Solution

The fourth proportional to 15,647.92, 23,464.86 and 9,325.78 is: 13,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.92 : 23,464.86 = 9,325.78 : x
  2. Step 2: Convert to fraction form
    15,647.92/23,464.86 = 9,325.78/x
  3. Step 3: Cross multiply
    15,647.92x = 23,464.86 × 9,325.78
  4. Step 4: Simplify right side
    15,647.92x = 218,828,122.09
  5. Step 5: Solve for x
    x = 218,828,122.09/15,647.92
  6. Step 6: Final answer
    x = 13,984.49

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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.