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Finding the Fourth Proportional to 17,771.10, 24,523.98 and 10,696.02

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Solution

The fourth proportional to 17,771.10, 24,523.98 and 10,696.02 is: 14,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.10 : 24,523.98 = 10,696.02 : x
  2. Step 2: Convert to fraction form
    17,771.10/24,523.98 = 10,696.02/x
  3. Step 3: Cross multiply
    17,771.10x = 24,523.98 × 10,696.02
  4. Step 4: Simplify right side
    17,771.10x = 262,308,980.56
  5. Step 5: Solve for x
    x = 262,308,980.56/17,771.10
  6. Step 6: Final answer
    x = 14,760.42

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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.