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Finding the Fourth Proportional to 17,291.78, 25,938.10 and 6,199.24

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Solution

The fourth proportional to 17,291.78, 25,938.10 and 6,199.24 is: 9,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.78 : 25,938.10 = 6,199.24 : x
  2. Step 2: Convert to fraction form
    17,291.78/25,938.10 = 6,199.24/x
  3. Step 3: Cross multiply
    17,291.78x = 25,938.10 × 6,199.24
  4. Step 4: Simplify right side
    17,291.78x = 160,796,507.04
  5. Step 5: Solve for x
    x = 160,796,507.04/17,291.78
  6. Step 6: Final answer
    x = 9,299.01

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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.