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Finding the Fourth Proportional to 17,946.50, 24,766.16 and 10,393.22

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Solution

The fourth proportional to 17,946.50, 24,766.16 and 10,393.22 is: 14,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.50 : 24,766.16 = 10,393.22 : x
  2. Step 2: Convert to fraction form
    17,946.50/24,766.16 = 10,393.22/x
  3. Step 3: Cross multiply
    17,946.50x = 24,766.16 × 10,393.22
  4. Step 4: Simplify right side
    17,946.50x = 257,399,973.64
  5. Step 5: Solve for x
    x = 257,399,973.64/17,946.50
  6. Step 6: Final answer
    x = 14,342.63

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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.