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Finding the Fourth Proportional to 17,282.22, 25,904.34 and 6,749.07

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Solution

The fourth proportional to 17,282.22, 25,904.34 and 6,749.07 is: 10,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.22 : 25,904.34 = 6,749.07 : x
  2. Step 2: Convert to fraction form
    17,282.22/25,904.34 = 6,749.07/x
  3. Step 3: Cross multiply
    17,282.22x = 25,904.34 × 6,749.07
  4. Step 4: Simplify right side
    17,282.22x = 174,830,203.96
  5. Step 5: Solve for x
    x = 174,830,203.96/17,282.22
  6. Step 6: Final answer
    x = 10,116.19

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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.