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Finding the Fourth Proportional to 12,809.34, 19,216.56 and 5,413.74

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Solution

The fourth proportional to 12,809.34, 19,216.56 and 5,413.74 is: 8,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.34 : 19,216.56 = 5,413.74 : x
  2. Step 2: Convert to fraction form
    12,809.34/19,216.56 = 5,413.74/x
  3. Step 3: Cross multiply
    12,809.34x = 19,216.56 × 5,413.74
  4. Step 4: Simplify right side
    12,809.34x = 104,033,459.53
  5. Step 5: Solve for x
    x = 104,033,459.53/12,809.34
  6. Step 6: Final answer
    x = 8,121.69

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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.