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Finding the Fourth Proportional to 24,022.61, 36,035.22 and 9,984.05

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Solution

The fourth proportional to 24,022.61, 36,035.22 and 9,984.05 is: 14,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.61 : 36,035.22 = 9,984.05 : x
  2. Step 2: Convert to fraction form
    24,022.61/36,035.22 = 9,984.05/x
  3. Step 3: Cross multiply
    24,022.61x = 36,035.22 × 9,984.05
  4. Step 4: Simplify right side
    24,022.61x = 359,777,258.06
  5. Step 5: Solve for x
    x = 359,777,258.06/24,022.61
  6. Step 6: Final answer
    x = 14,976.61

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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.