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Finding the Fourth Proportional to 12,766.02, 19,149.08 and 3,881.46

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Solution

The fourth proportional to 12,766.02, 19,149.08 and 3,881.46 is: 5,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.02 : 19,149.08 = 3,881.46 : x
  2. Step 2: Convert to fraction form
    12,766.02/19,149.08 = 3,881.46/x
  3. Step 3: Cross multiply
    12,766.02x = 19,149.08 × 3,881.46
  4. Step 4: Simplify right side
    12,766.02x = 74,326,388.06
  5. Step 5: Solve for x
    x = 74,326,388.06/12,766.02
  6. Step 6: Final answer
    x = 5,822.21

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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.