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Finding the Fourth Proportional to 12,657.12, 17,467.20 and 7,068

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Solution

The fourth proportional to 12,657.12, 17,467.20 and 7,068 is: 9,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.12 : 17,467.20 = 7,068 : x
  2. Step 2: Convert to fraction form
    12,657.12/17,467.20 = 7,068/x
  3. Step 3: Cross multiply
    12,657.12x = 17,467.20 × 7,068
  4. Step 4: Simplify right side
    12,657.12x = 123,458,169.60
  5. Step 5: Solve for x
    x = 123,458,169.60/12,657.12
  6. Step 6: Final answer
    x = 9,754.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.