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Finding the Fourth Proportional to 17,361.96, 26,047.53 and 9,969

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Solution

The fourth proportional to 17,361.96, 26,047.53 and 9,969 is: 14,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,361.96 : 26,047.53 = 9,969 : x
  2. Step 2: Convert to fraction form
    17,361.96/26,047.53 = 9,969/x
  3. Step 3: Cross multiply
    17,361.96x = 26,047.53 × 9,969
  4. Step 4: Simplify right side
    17,361.96x = 259,667,826.57
  5. Step 5: Solve for x
    x = 259,667,826.57/17,361.96
  6. Step 6: Final answer
    x = 14,956.14

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Why These Related Problems?

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