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Finding the Fourth Proportional to 12,128.20, 18,193.14 and 4,730.20

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Solution

The fourth proportional to 12,128.20, 18,193.14 and 4,730.20 is: 7,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.20 : 18,193.14 = 4,730.20 : x
  2. Step 2: Convert to fraction form
    12,128.20/18,193.14 = 4,730.20/x
  3. Step 3: Cross multiply
    12,128.20x = 18,193.14 × 4,730.20
  4. Step 4: Simplify right side
    12,128.20x = 86,057,190.83
  5. Step 5: Solve for x
    x = 86,057,190.83/12,128.20
  6. Step 6: Final answer
    x = 7,095.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.