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Finding the Fourth Proportional to 17,272.15, 25,907.16 and 6,178.30

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Solution

The fourth proportional to 17,272.15, 25,907.16 and 6,178.30 is: 9,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,272.15 : 25,907.16 = 6,178.30 : x
  2. Step 2: Convert to fraction form
    17,272.15/25,907.16 = 6,178.30/x
  3. Step 3: Cross multiply
    17,272.15x = 25,907.16 × 6,178.30
  4. Step 4: Simplify right side
    17,272.15x = 160,062,206.63
  5. Step 5: Solve for x
    x = 160,062,206.63/17,272.15
  6. Step 6: Final answer
    x = 9,267.07

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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.