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Finding the Fourth Proportional to 20,777.84, 31,148.27 and 7,627.13

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Solution

The fourth proportional to 20,777.84, 31,148.27 and 7,627.13 is: 11,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.84 : 31,148.27 = 7,627.13 : x
  2. Step 2: Convert to fraction form
    20,777.84/31,148.27 = 7,627.13/x
  3. Step 3: Cross multiply
    20,777.84x = 31,148.27 × 7,627.13
  4. Step 4: Simplify right side
    20,777.84x = 237,571,710.69
  5. Step 5: Solve for x
    x = 237,571,710.69/20,777.84
  6. Step 6: Final answer
    x = 11,433.90

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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.