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Finding the Fourth Proportional to 17,817.82, 24,588.22 and 9,859.57

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Solution

The fourth proportional to 17,817.82, 24,588.22 and 9,859.57 is: 13,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.82 : 24,588.22 = 9,859.57 : x
  2. Step 2: Convert to fraction form
    17,817.82/24,588.22 = 9,859.57/x
  3. Step 3: Cross multiply
    17,817.82x = 24,588.22 × 9,859.57
  4. Step 4: Simplify right side
    17,817.82x = 242,429,276.27
  5. Step 5: Solve for x
    x = 242,429,276.27/17,817.82
  6. Step 6: Final answer
    x = 13,606.00

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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.