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Finding the Fourth Proportional to 17,227.98, 25,841.66 and 9,816.63

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Solution

The fourth proportional to 17,227.98, 25,841.66 and 9,816.63 is: 14,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.98 : 25,841.66 = 9,816.63 : x
  2. Step 2: Convert to fraction form
    17,227.98/25,841.66 = 9,816.63/x
  3. Step 3: Cross multiply
    17,227.98x = 25,841.66 × 9,816.63
  4. Step 4: Simplify right side
    17,227.98x = 253,678,014.81
  5. Step 5: Solve for x
    x = 253,678,014.81/17,227.98
  6. Step 6: Final answer
    x = 14,724.77

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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.