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Finding the Fourth Proportional to 27,568.96, 38,045.46 and 14,993.74

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Solution

The fourth proportional to 27,568.96, 38,045.46 and 14,993.74 is: 20,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.96 : 38,045.46 = 14,993.74 : x
  2. Step 2: Convert to fraction form
    27,568.96/38,045.46 = 14,993.74/x
  3. Step 3: Cross multiply
    27,568.96x = 38,045.46 × 14,993.74
  4. Step 4: Simplify right side
    27,568.96x = 570,443,735.42
  5. Step 5: Solve for x
    x = 570,443,735.42/27,568.96
  6. Step 6: Final answer
    x = 20,691.52

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