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Finding the Fourth Proportional to 17,187.66, 25,774.20 and 6,097.14

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Solution

The fourth proportional to 17,187.66, 25,774.20 and 6,097.14 is: 9,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187.66 : 25,774.20 = 6,097.14 : x
  2. Step 2: Convert to fraction form
    17,187.66/25,774.20 = 6,097.14/x
  3. Step 3: Cross multiply
    17,187.66x = 25,774.20 × 6,097.14
  4. Step 4: Simplify right side
    17,187.66x = 157,148,905.79
  5. Step 5: Solve for x
    x = 157,148,905.79/17,187.66
  6. Step 6: Final answer
    x = 9,143.12

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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.