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Finding the Fourth Proportional to 12,680.68, 19,029.18 and 6,841.32

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Solution

The fourth proportional to 12,680.68, 19,029.18 and 6,841.32 is: 10,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.68 : 19,029.18 = 6,841.32 : x
  2. Step 2: Convert to fraction form
    12,680.68/19,029.18 = 6,841.32/x
  3. Step 3: Cross multiply
    12,680.68x = 19,029.18 × 6,841.32
  4. Step 4: Simplify right side
    12,680.68x = 130,184,709.72
  5. Step 5: Solve for x
    x = 130,184,709.72/12,680.68
  6. Step 6: Final answer
    x = 10,266.38

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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.