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Finding the Fourth Proportional to 17,984.75, 24,820.76 and 10,433.39

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Solution

The fourth proportional to 17,984.75, 24,820.76 and 10,433.39 is: 14,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.75 : 24,820.76 = 10,433.39 : x
  2. Step 2: Convert to fraction form
    17,984.75/24,820.76 = 10,433.39/x
  3. Step 3: Cross multiply
    17,984.75x = 24,820.76 × 10,433.39
  4. Step 4: Simplify right side
    17,984.75x = 258,964,571.16
  5. Step 5: Solve for x
    x = 258,964,571.16/17,984.75
  6. Step 6: Final answer
    x = 14,399.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.