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Finding the Fourth Proportional to 13,287, 18,336.89 and 7,318.67

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Solution

The fourth proportional to 13,287, 18,336.89 and 7,318.67 is: 10,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287 : 18,336.89 = 7,318.67 : x
  2. Step 2: Convert to fraction form
    13,287/18,336.89 = 7,318.67/x
  3. Step 3: Cross multiply
    13,287x = 18,336.89 × 7,318.67
  4. Step 4: Simplify right side
    13,287x = 134,201,646.74
  5. Step 5: Solve for x
    x = 134,201,646.74/13,287
  6. Step 6: Final answer
    x = 10,100.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.