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Finding the Fourth Proportional to 15,741.22, 21,721.08 and 9,025

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Solution

The fourth proportional to 15,741.22, 21,721.08 and 9,025 is: 12,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.22 : 21,721.08 = 9,025 : x
  2. Step 2: Convert to fraction form
    15,741.22/21,721.08 = 9,025/x
  3. Step 3: Cross multiply
    15,741.22x = 21,721.08 × 9,025
  4. Step 4: Simplify right side
    15,741.22x = 196,032,747.00
  5. Step 5: Solve for x
    x = 196,032,747.00/15,741.22
  6. Step 6: Final answer
    x = 12,453.47

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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.