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Finding the Fourth Proportional to 17,817.10, 24,585.82 and 9,858.22

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Solution

The fourth proportional to 17,817.10, 24,585.82 and 9,858.22 is: 13,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.10 : 24,585.82 = 9,858.22 : x
  2. Step 2: Convert to fraction form
    17,817.10/24,585.82 = 9,858.22/x
  3. Step 3: Cross multiply
    17,817.10x = 24,585.82 × 9,858.22
  4. Step 4: Simplify right side
    17,817.10x = 242,372,422.44
  5. Step 5: Solve for x
    x = 242,372,422.44/17,817.10
  6. Step 6: Final answer
    x = 13,603.36

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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.