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Finding the Fourth Proportional to 27,014.96, 40,514.28 and 7,293.74

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Solution

The fourth proportional to 27,014.96, 40,514.28 and 7,293.74 is: 10,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014.96 : 40,514.28 = 7,293.74 : x
  2. Step 2: Convert to fraction form
    27,014.96/40,514.28 = 7,293.74/x
  3. Step 3: Cross multiply
    27,014.96x = 40,514.28 × 7,293.74
  4. Step 4: Simplify right side
    27,014.96x = 295,500,624.61
  5. Step 5: Solve for x
    x = 295,500,624.61/27,014.96
  6. Step 6: Final answer
    x = 10,938.41

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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.