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Finding the Fourth Proportional to 12,899.50, 19,333.06 and 6,976.15

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Solution

The fourth proportional to 12,899.50, 19,333.06 and 6,976.15 is: 10,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.50 : 19,333.06 = 6,976.15 : x
  2. Step 2: Convert to fraction form
    12,899.50/19,333.06 = 6,976.15/x
  3. Step 3: Cross multiply
    12,899.50x = 19,333.06 × 6,976.15
  4. Step 4: Simplify right side
    12,899.50x = 134,870,260.75
  5. Step 5: Solve for x
    x = 134,870,260.75/12,899.50
  6. Step 6: Final answer
    x = 10,455.47

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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.