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Finding the Fourth Proportional to 27,777.34, 41,655.37 and 10,002.90

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Solution

The fourth proportional to 27,777.34, 41,655.37 and 10,002.90 is: 15,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.34 : 41,655.37 = 10,002.90 : x
  2. Step 2: Convert to fraction form
    27,777.34/41,655.37 = 10,002.90/x
  3. Step 3: Cross multiply
    27,777.34x = 41,655.37 × 10,002.90
  4. Step 4: Simplify right side
    27,777.34x = 416,674,450.56
  5. Step 5: Solve for x
    x = 416,674,450.56/27,777.34
  6. Step 6: Final answer
    x = 15,000.52

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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.