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Finding the Fourth Proportional to 17,606.63, 24,297.17 and 9,649.14

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Solution

The fourth proportional to 17,606.63, 24,297.17 and 9,649.14 is: 13,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.63 : 24,297.17 = 9,649.14 : x
  2. Step 2: Convert to fraction form
    17,606.63/24,297.17 = 9,649.14/x
  3. Step 3: Cross multiply
    17,606.63x = 24,297.17 × 9,649.14
  4. Step 4: Simplify right side
    17,606.63x = 234,446,794.93
  5. Step 5: Solve for x
    x = 234,446,794.93/17,606.63
  6. Step 6: Final answer
    x = 13,315.82

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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.