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Finding the Fourth Proportional to 17,507.10, 26,241.14 and 9,188.06

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Solution

The fourth proportional to 17,507.10, 26,241.14 and 9,188.06 is: 13,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.10 : 26,241.14 = 9,188.06 : x
  2. Step 2: Convert to fraction form
    17,507.10/26,241.14 = 9,188.06/x
  3. Step 3: Cross multiply
    17,507.10x = 26,241.14 × 9,188.06
  4. Step 4: Simplify right side
    17,507.10x = 241,105,168.79
  5. Step 5: Solve for x
    x = 241,105,168.79/17,507.10
  6. Step 6: Final answer
    x = 13,771.85

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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.