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Finding the Fourth Proportional to 27,568.63, 38,045.00 and 14,993.65

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Solution

The fourth proportional to 27,568.63, 38,045.00 and 14,993.65 is: 20,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.63 : 38,045.00 = 14,993.65 : x
  2. Step 2: Convert to fraction form
    27,568.63/38,045.00 = 14,993.65/x
  3. Step 3: Cross multiply
    27,568.63x = 38,045.00 × 14,993.65
  4. Step 4: Simplify right side
    27,568.63x = 570,433,149.06
  5. Step 5: Solve for x
    x = 570,433,149.06/27,568.63
  6. Step 6: Final answer
    x = 20,691.39

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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.