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Finding the Fourth Proportional to 12,653.77, 18,980.82 and 6,078.44

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Solution

The fourth proportional to 12,653.77, 18,980.82 and 6,078.44 is: 9,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.77 : 18,980.82 = 6,078.44 : x
  2. Step 2: Convert to fraction form
    12,653.77/18,980.82 = 6,078.44/x
  3. Step 3: Cross multiply
    12,653.77x = 18,980.82 × 6,078.44
  4. Step 4: Simplify right side
    12,653.77x = 115,373,680.62
  5. Step 5: Solve for x
    x = 115,373,680.62/12,653.77
  6. Step 6: Final answer
    x = 9,117.74

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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.