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Finding the Fourth Proportional to 15,971.16, 22,040.44 and 9,257.26

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Solution

The fourth proportional to 15,971.16, 22,040.44 and 9,257.26 is: 12,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.16 : 22,040.44 = 9,257.26 : x
  2. Step 2: Convert to fraction form
    15,971.16/22,040.44 = 9,257.26/x
  3. Step 3: Cross multiply
    15,971.16x = 22,040.44 × 9,257.26
  4. Step 4: Simplify right side
    15,971.16x = 204,034,083.59
  5. Step 5: Solve for x
    x = 204,034,083.59/15,971.16
  6. Step 6: Final answer
    x = 12,775.16

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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.