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Finding the Fourth Proportional to 27,027.68, 40,559.98 and 9,497.51

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Solution

The fourth proportional to 27,027.68, 40,559.98 and 9,497.51 is: 14,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027.68 : 40,559.98 = 9,497.51 : x
  2. Step 2: Convert to fraction form
    27,027.68/40,559.98 = 9,497.51/x
  3. Step 3: Cross multiply
    27,027.68x = 40,559.98 × 9,497.51
  4. Step 4: Simplify right side
    27,027.68x = 385,218,815.65
  5. Step 5: Solve for x
    x = 385,218,815.65/27,027.68
  6. Step 6: Final answer
    x = 14,252.75

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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.