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Finding the Fourth Proportional to 17,270.84, 25,907.70 and 6,177.08

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Solution

The fourth proportional to 17,270.84, 25,907.70 and 6,177.08 is: 9,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.84 : 25,907.70 = 6,177.08 : x
  2. Step 2: Convert to fraction form
    17,270.84/25,907.70 = 6,177.08/x
  3. Step 3: Cross multiply
    17,270.84x = 25,907.70 × 6,177.08
  4. Step 4: Simplify right side
    17,270.84x = 160,033,935.52
  5. Step 5: Solve for x
    x = 160,033,935.52/17,270.84
  6. Step 6: Final answer
    x = 9,266.14

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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.