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Finding the Fourth Proportional to 17,507.26, 26,261.25 and 9,765.34

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Solution

The fourth proportional to 17,507.26, 26,261.25 and 9,765.34 is: 14,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.26 : 26,261.25 = 9,765.34 : x
  2. Step 2: Convert to fraction form
    17,507.26/26,261.25 = 9,765.34/x
  3. Step 3: Cross multiply
    17,507.26x = 26,261.25 × 9,765.34
  4. Step 4: Simplify right side
    17,507.26x = 256,450,035.08
  5. Step 5: Solve for x
    x = 256,450,035.08/17,507.26
  6. Step 6: Final answer
    x = 14,648.21

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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.