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Finding the Fourth Proportional to 12,914.48, 17,822.04 and 7,325.84

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Solution

The fourth proportional to 12,914.48, 17,822.04 and 7,325.84 is: 10,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.48 : 17,822.04 = 7,325.84 : x
  2. Step 2: Convert to fraction form
    12,914.48/17,822.04 = 7,325.84/x
  3. Step 3: Cross multiply
    12,914.48x = 17,822.04 × 7,325.84
  4. Step 4: Simplify right side
    12,914.48x = 130,561,413.51
  5. Step 5: Solve for x
    x = 130,561,413.51/12,914.48
  6. Step 6: Final answer
    x = 10,109.69

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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.