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Finding the Fourth Proportional to 17,094.92, 25,642.27 and 9,201.16

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Solution

The fourth proportional to 17,094.92, 25,642.27 and 9,201.16 is: 13,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.92 : 25,642.27 = 9,201.16 : x
  2. Step 2: Convert to fraction form
    17,094.92/25,642.27 = 9,201.16/x
  3. Step 3: Cross multiply
    17,094.92x = 25,642.27 × 9,201.16
  4. Step 4: Simplify right side
    17,094.92x = 235,938,454.82
  5. Step 5: Solve for x
    x = 235,938,454.82/17,094.92
  6. Step 6: Final answer
    x = 13,801.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.