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Finding the Fourth Proportional to 13,297.96, 18,352.07 and 7,329.63

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Solution

The fourth proportional to 13,297.96, 18,352.07 and 7,329.63 is: 10,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.96 : 18,352.07 = 7,329.63 : x
  2. Step 2: Convert to fraction form
    13,297.96/18,352.07 = 7,329.63/x
  3. Step 3: Cross multiply
    13,297.96x = 18,352.07 × 7,329.63
  4. Step 4: Simplify right side
    13,297.96x = 134,513,855.28
  5. Step 5: Solve for x
    x = 134,513,855.28/13,297.96
  6. Step 6: Final answer
    x = 10,115.38

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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.