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Finding the Fourth Proportional to 13,501.37, 18,631 and 8,465.38

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Solution

The fourth proportional to 13,501.37, 18,631 and 8,465.38 is: 11,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.37 : 18,631 = 8,465.38 : x
  2. Step 2: Convert to fraction form
    13,501.37/18,631 = 8,465.38/x
  3. Step 3: Cross multiply
    13,501.37x = 18,631 × 8,465.38
  4. Step 4: Simplify right side
    13,501.37x = 157,718,494.78
  5. Step 5: Solve for x
    x = 157,718,494.78/13,501.37
  6. Step 6: Final answer
    x = 11,681.67

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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.