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Finding the Fourth Proportional to 23,840.48, 35,759.04 and 6,309.92

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Solution

The fourth proportional to 23,840.48, 35,759.04 and 6,309.92 is: 9,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.48 : 35,759.04 = 6,309.92 : x
  2. Step 2: Convert to fraction form
    23,840.48/35,759.04 = 6,309.92/x
  3. Step 3: Cross multiply
    23,840.48x = 35,759.04 × 6,309.92
  4. Step 4: Simplify right side
    23,840.48x = 225,636,681.68
  5. Step 5: Solve for x
    x = 225,636,681.68/23,840.48
  6. Step 6: Final answer
    x = 9,464.44

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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.