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Finding the Fourth Proportional to 19,865.34, 27,413.10 and 11,367.63

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Solution

The fourth proportional to 19,865.34, 27,413.10 and 11,367.63 is: 15,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.34 : 27,413.10 = 11,367.63 : x
  2. Step 2: Convert to fraction form
    19,865.34/27,413.10 = 11,367.63/x
  3. Step 3: Cross multiply
    19,865.34x = 27,413.10 × 11,367.63
  4. Step 4: Simplify right side
    19,865.34x = 311,621,977.95
  5. Step 5: Solve for x
    x = 311,621,977.95/19,865.34
  6. Step 6: Final answer
    x = 15,686.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.