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Finding the Fourth Proportional to 12,906.65, 19,360.11 and 5,506.49

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Solution

The fourth proportional to 12,906.65, 19,360.11 and 5,506.49 is: 8,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.65 : 19,360.11 = 5,506.49 : x
  2. Step 2: Convert to fraction form
    12,906.65/19,360.11 = 5,506.49/x
  3. Step 3: Cross multiply
    12,906.65x = 19,360.11 × 5,506.49
  4. Step 4: Simplify right side
    12,906.65x = 106,606,252.11
  5. Step 5: Solve for x
    x = 106,606,252.11/12,906.65
  6. Step 6: Final answer
    x = 8,259.79

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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.