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Finding the Fourth Proportional to 17,771.42, 24,524.57 and 9,705.19

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Solution

The fourth proportional to 17,771.42, 24,524.57 and 9,705.19 is: 13,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.42 : 24,524.57 = 9,705.19 : x
  2. Step 2: Convert to fraction form
    17,771.42/24,524.57 = 9,705.19/x
  3. Step 3: Cross multiply
    17,771.42x = 24,524.57 × 9,705.19
  4. Step 4: Simplify right side
    17,771.42x = 238,015,574.47
  5. Step 5: Solve for x
    x = 238,015,574.47/17,771.42
  6. Step 6: Final answer
    x = 13,393.16

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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.