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Finding the Fourth Proportional to 16,162.84, 24,255.31 and 5,632.89

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Solution

The fourth proportional to 16,162.84, 24,255.31 and 5,632.89 is: 8,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.84 : 24,255.31 = 5,632.89 : x
  2. Step 2: Convert to fraction form
    16,162.84/24,255.31 = 5,632.89/x
  3. Step 3: Cross multiply
    16,162.84x = 24,255.31 × 5,632.89
  4. Step 4: Simplify right side
    16,162.84x = 136,627,543.03
  5. Step 5: Solve for x
    x = 136,627,543.03/16,162.84
  6. Step 6: Final answer
    x = 8,453.19

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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.