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Finding the Fourth Proportional to 24,318.75, 36,476.23 and 7,679.28

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Solution

The fourth proportional to 24,318.75, 36,476.23 and 7,679.28 is: 11,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318.75 : 36,476.23 = 7,679.28 : x
  2. Step 2: Convert to fraction form
    24,318.75/36,476.23 = 7,679.28/x
  3. Step 3: Cross multiply
    24,318.75x = 36,476.23 × 7,679.28
  4. Step 4: Simplify right side
    24,318.75x = 280,111,183.51
  5. Step 5: Solve for x
    x = 280,111,183.51/24,318.75
  6. Step 6: Final answer
    x = 11,518.32

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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.