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Finding the Fourth Proportional to 12,775.69, 19,135.85 and 6,188.06

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Solution

The fourth proportional to 12,775.69, 19,135.85 and 6,188.06 is: 9,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.69 : 19,135.85 = 6,188.06 : x
  2. Step 2: Convert to fraction form
    12,775.69/19,135.85 = 6,188.06/x
  3. Step 3: Cross multiply
    12,775.69x = 19,135.85 × 6,188.06
  4. Step 4: Simplify right side
    12,775.69x = 118,413,804.85
  5. Step 5: Solve for x
    x = 118,413,804.85/12,775.69
  6. Step 6: Final answer
    x = 9,268.68

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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.