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Finding the Fourth Proportional to 17,678.66, 24,396.36 and 9,612.26

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Solution

The fourth proportional to 17,678.66, 24,396.36 and 9,612.26 is: 13,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.66 : 24,396.36 = 9,612.26 : x
  2. Step 2: Convert to fraction form
    17,678.66/24,396.36 = 9,612.26/x
  3. Step 3: Cross multiply
    17,678.66x = 24,396.36 × 9,612.26
  4. Step 4: Simplify right side
    17,678.66x = 234,504,155.37
  5. Step 5: Solve for x
    x = 234,504,155.37/17,678.66
  6. Step 6: Final answer
    x = 13,264.82

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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.