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Finding the Fourth Proportional to 17,651.42, 24,357.75 and 9,694.16

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Solution

The fourth proportional to 17,651.42, 24,357.75 and 9,694.16 is: 13,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.42 : 24,357.75 = 9,694.16 : x
  2. Step 2: Convert to fraction form
    17,651.42/24,357.75 = 9,694.16/x
  3. Step 3: Cross multiply
    17,651.42x = 24,357.75 × 9,694.16
  4. Step 4: Simplify right side
    17,651.42x = 236,127,925.74
  5. Step 5: Solve for x
    x = 236,127,925.74/17,651.42
  6. Step 6: Final answer
    x = 13,377.28

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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.