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Finding the Fourth Proportional to 17,771.13, 24,524.10 and 10,697.94

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Solution

The fourth proportional to 17,771.13, 24,524.10 and 10,697.94 is: 14,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.13 : 24,524.10 = 10,697.94 : x
  2. Step 2: Convert to fraction form
    17,771.13/24,524.10 = 10,697.94/x
  3. Step 3: Cross multiply
    17,771.13x = 24,524.10 × 10,697.94
  4. Step 4: Simplify right side
    17,771.13x = 262,357,350.35
  5. Step 5: Solve for x
    x = 262,357,350.35/17,771.13
  6. Step 6: Final answer
    x = 14,763.12

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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.