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Finding the Fourth Proportional to 13,167.16, 18,168.20 and 7,790.48

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Solution

The fourth proportional to 13,167.16, 18,168.20 and 7,790.48 is: 10,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.16 : 18,168.20 = 7,790.48 : x
  2. Step 2: Convert to fraction form
    13,167.16/18,168.20 = 7,790.48/x
  3. Step 3: Cross multiply
    13,167.16x = 18,168.20 × 7,790.48
  4. Step 4: Simplify right side
    13,167.16x = 141,538,998.74
  5. Step 5: Solve for x
    x = 141,538,998.74/13,167.16
  6. Step 6: Final answer
    x = 10,749.39

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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.