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Finding the Fourth Proportional to 24,015.40, 36,023.07 and 6,485.21

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Solution

The fourth proportional to 24,015.40, 36,023.07 and 6,485.21 is: 9,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.40 : 36,023.07 = 6,485.21 : x
  2. Step 2: Convert to fraction form
    24,015.40/36,023.07 = 6,485.21/x
  3. Step 3: Cross multiply
    24,015.40x = 36,023.07 × 6,485.21
  4. Step 4: Simplify right side
    24,015.40x = 233,616,993.68
  5. Step 5: Solve for x
    x = 233,616,993.68/24,015.40
  6. Step 6: Final answer
    x = 9,727.80

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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.