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Finding the Fourth Proportional to 12,934.84, 19,413.78 and 6,013.24

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Solution

The fourth proportional to 12,934.84, 19,413.78 and 6,013.24 is: 9,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.84 : 19,413.78 = 6,013.24 : x
  2. Step 2: Convert to fraction form
    12,934.84/19,413.78 = 6,013.24/x
  3. Step 3: Cross multiply
    12,934.84x = 19,413.78 × 6,013.24
  4. Step 4: Simplify right side
    12,934.84x = 116,739,718.45
  5. Step 5: Solve for x
    x = 116,739,718.45/12,934.84
  6. Step 6: Final answer
    x = 9,025.22

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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.