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Finding the Fourth Proportional to 12,208.95, 18,313.41 and 11,585.65

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Solution

The fourth proportional to 12,208.95, 18,313.41 and 11,585.65 is: 17,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.95 : 18,313.41 = 11,585.65 : x
  2. Step 2: Convert to fraction form
    12,208.95/18,313.41 = 11,585.65/x
  3. Step 3: Cross multiply
    12,208.95x = 18,313.41 × 11,585.65
  4. Step 4: Simplify right side
    12,208.95x = 212,172,758.57
  5. Step 5: Solve for x
    x = 212,172,758.57/12,208.95
  6. Step 6: Final answer
    x = 17,378.46

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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.