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Finding the Fourth Proportional to 13,715.51, 18,927.74 and 8,413.25

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Solution

The fourth proportional to 13,715.51, 18,927.74 and 8,413.25 is: 11,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.51 : 18,927.74 = 8,413.25 : x
  2. Step 2: Convert to fraction form
    13,715.51/18,927.74 = 8,413.25/x
  3. Step 3: Cross multiply
    13,715.51x = 18,927.74 × 8,413.25
  4. Step 4: Simplify right side
    13,715.51x = 159,243,808.56
  5. Step 5: Solve for x
    x = 159,243,808.56/13,715.51
  6. Step 6: Final answer
    x = 11,610.49

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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.