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Finding the Fourth Proportional to 12,059.55, 18,101 and 5,823.94

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Solution

The fourth proportional to 12,059.55, 18,101 and 5,823.94 is: 8,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.55 : 18,101 = 5,823.94 : x
  2. Step 2: Convert to fraction form
    12,059.55/18,101 = 5,823.94/x
  3. Step 3: Cross multiply
    12,059.55x = 18,101 × 5,823.94
  4. Step 4: Simplify right side
    12,059.55x = 105,419,137.94
  5. Step 5: Solve for x
    x = 105,419,137.94/12,059.55
  6. Step 6: Final answer
    x = 8,741.55

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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.