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Finding the Fourth Proportional to 17,089.88, 23,584.01 and 9,535.75

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Solution

The fourth proportional to 17,089.88, 23,584.01 and 9,535.75 is: 13,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.88 : 23,584.01 = 9,535.75 : x
  2. Step 2: Convert to fraction form
    17,089.88/23,584.01 = 9,535.75/x
  3. Step 3: Cross multiply
    17,089.88x = 23,584.01 × 9,535.75
  4. Step 4: Simplify right side
    17,089.88x = 224,891,205.16
  5. Step 5: Solve for x
    x = 224,891,205.16/17,089.88
  6. Step 6: Final answer
    x = 13,159.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.