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Finding the Fourth Proportional to 13,116.74, 18,100.94 and 7,148.39

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Solution

The fourth proportional to 13,116.74, 18,100.94 and 7,148.39 is: 9,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.74 : 18,100.94 = 7,148.39 : x
  2. Step 2: Convert to fraction form
    13,116.74/18,100.94 = 7,148.39/x
  3. Step 3: Cross multiply
    13,116.74x = 18,100.94 × 7,148.39
  4. Step 4: Simplify right side
    13,116.74x = 129,392,452.24
  5. Step 5: Solve for x
    x = 129,392,452.24/13,116.74
  6. Step 6: Final answer
    x = 9,864.68

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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.