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Finding the Fourth Proportional to 12,298.83, 18,450.62 and 3,980.91

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Solution

The fourth proportional to 12,298.83, 18,450.62 and 3,980.91 is: 5,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.83 : 18,450.62 = 3,980.91 : x
  2. Step 2: Convert to fraction form
    12,298.83/18,450.62 = 3,980.91/x
  3. Step 3: Cross multiply
    12,298.83x = 18,450.62 × 3,980.91
  4. Step 4: Simplify right side
    12,298.83x = 73,450,237.76
  5. Step 5: Solve for x
    x = 73,450,237.76/12,298.83
  6. Step 6: Final answer
    x = 5,972.13

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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.