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Finding the Fourth Proportional to 13,477.38, 18,598.97 and 7,812.54

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Solution

The fourth proportional to 13,477.38, 18,598.97 and 7,812.54 is: 10,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.38 : 18,598.97 = 7,812.54 : x
  2. Step 2: Convert to fraction form
    13,477.38/18,598.97 = 7,812.54/x
  3. Step 3: Cross multiply
    13,477.38x = 18,598.97 × 7,812.54
  4. Step 4: Simplify right side
    13,477.38x = 145,305,197.08
  5. Step 5: Solve for x
    x = 145,305,197.08/13,477.38
  6. Step 6: Final answer
    x = 10,781.41

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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.