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Finding the Fourth Proportional to 12,902.60, 19,338.78 and 5,962.52

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Solution

The fourth proportional to 12,902.60, 19,338.78 and 5,962.52 is: 8,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.60 : 19,338.78 = 5,962.52 : x
  2. Step 2: Convert to fraction form
    12,902.60/19,338.78 = 5,962.52/x
  3. Step 3: Cross multiply
    12,902.60x = 19,338.78 × 5,962.52
  4. Step 4: Simplify right side
    12,902.60x = 115,307,862.53
  5. Step 5: Solve for x
    x = 115,307,862.53/12,902.60
  6. Step 6: Final answer
    x = 8,936.79

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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.