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Finding the Fourth Proportional to 15,899.26, 21,942 and 9,185.17

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Solution

The fourth proportional to 15,899.26, 21,942 and 9,185.17 is: 12,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.26 : 21,942 = 9,185.17 : x
  2. Step 2: Convert to fraction form
    15,899.26/21,942 = 9,185.17/x
  3. Step 3: Cross multiply
    15,899.26x = 21,942 × 9,185.17
  4. Step 4: Simplify right side
    15,899.26x = 201,541,000.14
  5. Step 5: Solve for x
    x = 201,541,000.14/15,899.26
  6. Step 6: Final answer
    x = 12,676.12

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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.