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Finding the Fourth Proportional to 13,257.86, 18,296.18 and 7,289.67

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Solution

The fourth proportional to 13,257.86, 18,296.18 and 7,289.67 is: 10,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.86 : 18,296.18 = 7,289.67 : x
  2. Step 2: Convert to fraction form
    13,257.86/18,296.18 = 7,289.67/x
  3. Step 3: Cross multiply
    13,257.86x = 18,296.18 × 7,289.67
  4. Step 4: Simplify right side
    13,257.86x = 133,373,078.01
  5. Step 5: Solve for x
    x = 133,373,078.01/13,257.86
  6. Step 6: Final answer
    x = 10,059.93

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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.