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Finding the Fourth Proportional to 12,312.93, 18,469.50 and 3,078.93

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Solution

The fourth proportional to 12,312.93, 18,469.50 and 3,078.93 is: 4,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.93 : 18,469.50 = 3,078.93 : x
  2. Step 2: Convert to fraction form
    12,312.93/18,469.50 = 3,078.93/x
  3. Step 3: Cross multiply
    12,312.93x = 18,469.50 × 3,078.93
  4. Step 4: Simplify right side
    12,312.93x = 56,866,297.64
  5. Step 5: Solve for x
    x = 56,866,297.64/12,312.93
  6. Step 6: Final answer
    x = 4,618.42

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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.