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Finding the Fourth Proportional to 12,312.25, 18,468.38 and 3,078.25

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Solution

The fourth proportional to 12,312.25, 18,468.38 and 3,078.25 is: 4,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.25 : 18,468.38 = 3,078.25 : x
  2. Step 2: Convert to fraction form
    12,312.25/18,468.38 = 3,078.25/x
  3. Step 3: Cross multiply
    12,312.25x = 18,468.38 × 3,078.25
  4. Step 4: Simplify right side
    12,312.25x = 56,850,290.74
  5. Step 5: Solve for x
    x = 56,850,290.74/12,312.25
  6. Step 6: Final answer
    x = 4,617.38

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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.