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Finding the Fourth Proportional to 12,859.70, 19,292.39 and 5,470.47

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Solution

The fourth proportional to 12,859.70, 19,292.39 and 5,470.47 is: 8,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.70 : 19,292.39 = 5,470.47 : x
  2. Step 2: Convert to fraction form
    12,859.70/19,292.39 = 5,470.47/x
  3. Step 3: Cross multiply
    12,859.70x = 19,292.39 × 5,470.47
  4. Step 4: Simplify right side
    12,859.70x = 105,538,413.37
  5. Step 5: Solve for x
    x = 105,538,413.37/12,859.70
  6. Step 6: Final answer
    x = 8,206.91

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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.