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Finding the Fourth Proportional to 19,584.38, 27,030.71 and 12,034.68

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Solution

The fourth proportional to 19,584.38, 27,030.71 and 12,034.68 is: 16,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584.38 : 27,030.71 = 12,034.68 : x
  2. Step 2: Convert to fraction form
    19,584.38/27,030.71 = 12,034.68/x
  3. Step 3: Cross multiply
    19,584.38x = 27,030.71 × 12,034.68
  4. Step 4: Simplify right side
    19,584.38x = 325,305,873.74
  5. Step 5: Solve for x
    x = 325,305,873.74/19,584.38
  6. Step 6: Final answer
    x = 16,610.47

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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.