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Finding the Fourth Proportional to 16,778.76, 23,146.62 and 11,112.12

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Solution

The fourth proportional to 16,778.76, 23,146.62 and 11,112.12 is: 15,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.76 : 23,146.62 = 11,112.12 : x
  2. Step 2: Convert to fraction form
    16,778.76/23,146.62 = 11,112.12/x
  3. Step 3: Cross multiply
    16,778.76x = 23,146.62 × 11,112.12
  4. Step 4: Simplify right side
    16,778.76x = 257,208,019.03
  5. Step 5: Solve for x
    x = 257,208,019.03/16,778.76
  6. Step 6: Final answer
    x = 15,329.38

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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.