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Finding the Fourth Proportional to 12,303.30, 18,457.62 and 3,984.15

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Solution

The fourth proportional to 12,303.30, 18,457.62 and 3,984.15 is: 5,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.30 : 18,457.62 = 3,984.15 : x
  2. Step 2: Convert to fraction form
    12,303.30/18,457.62 = 3,984.15/x
  3. Step 3: Cross multiply
    12,303.30x = 18,457.62 × 3,984.15
  4. Step 4: Simplify right side
    12,303.30x = 73,537,906.80
  5. Step 5: Solve for x
    x = 73,537,906.80/12,303.30
  6. Step 6: Final answer
    x = 5,977.09

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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.