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Finding the Fourth Proportional to 19,585.38, 27,032.09 and 12,035.68

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Solution

The fourth proportional to 19,585.38, 27,032.09 and 12,035.68 is: 16,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.38 : 27,032.09 = 12,035.68 : x
  2. Step 2: Convert to fraction form
    19,585.38/27,032.09 = 12,035.68/x
  3. Step 3: Cross multiply
    19,585.38x = 27,032.09 × 12,035.68
  4. Step 4: Simplify right side
    19,585.38x = 325,349,584.97
  5. Step 5: Solve for x
    x = 325,349,584.97/19,585.38
  6. Step 6: Final answer
    x = 16,611.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.