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Finding the Fourth Proportional to 12,181.25, 18,272.01 and 4,284

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Solution

The fourth proportional to 12,181.25, 18,272.01 and 4,284 is: 6,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.25 : 18,272.01 = 4,284 : x
  2. Step 2: Convert to fraction form
    12,181.25/18,272.01 = 4,284/x
  3. Step 3: Cross multiply
    12,181.25x = 18,272.01 × 4,284
  4. Step 4: Simplify right side
    12,181.25x = 78,277,290.84
  5. Step 5: Solve for x
    x = 78,277,290.84/12,181.25
  6. Step 6: Final answer
    x = 6,426.05

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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.