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Finding the Fourth Proportional to 13,712.34, 18,923 and 7,743.72

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Solution

The fourth proportional to 13,712.34, 18,923 and 7,743.72 is: 10,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.34 : 18,923 = 7,743.72 : x
  2. Step 2: Convert to fraction form
    13,712.34/18,923 = 7,743.72/x
  3. Step 3: Cross multiply
    13,712.34x = 18,923 × 7,743.72
  4. Step 4: Simplify right side
    13,712.34x = 146,534,413.56
  5. Step 5: Solve for x
    x = 146,534,413.56/13,712.34
  6. Step 6: Final answer
    x = 10,686.32

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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.