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Finding the Fourth Proportional to 12,976.72, 19,465.06 and 9,286.15

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Solution

The fourth proportional to 12,976.72, 19,465.06 and 9,286.15 is: 13,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.72 : 19,465.06 = 9,286.15 : x
  2. Step 2: Convert to fraction form
    12,976.72/19,465.06 = 9,286.15/x
  3. Step 3: Cross multiply
    12,976.72x = 19,465.06 × 9,286.15
  4. Step 4: Simplify right side
    12,976.72x = 180,755,466.92
  5. Step 5: Solve for x
    x = 180,755,466.92/12,976.72
  6. Step 6: Final answer
    x = 13,929.21

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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.