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Finding the Fourth Proportional to 17,188.40, 25,775.32 and 6,097.88

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Solution

The fourth proportional to 17,188.40, 25,775.32 and 6,097.88 is: 9,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188.40 : 25,775.32 = 6,097.88 : x
  2. Step 2: Convert to fraction form
    17,188.40/25,775.32 = 6,097.88/x
  3. Step 3: Cross multiply
    17,188.40x = 25,775.32 × 6,097.88
  4. Step 4: Simplify right side
    17,188.40x = 157,174,808.32
  5. Step 5: Solve for x
    x = 157,174,808.32/17,188.40
  6. Step 6: Final answer
    x = 9,144.24

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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.