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Finding the Fourth Proportional to 19,852.40, 27,394.26 and 11,894.42

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Solution

The fourth proportional to 19,852.40, 27,394.26 and 11,894.42 is: 16,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.40 : 27,394.26 = 11,894.42 : x
  2. Step 2: Convert to fraction form
    19,852.40/27,394.26 = 11,894.42/x
  3. Step 3: Cross multiply
    19,852.40x = 27,394.26 × 11,894.42
  4. Step 4: Simplify right side
    19,852.40x = 325,838,697.06
  5. Step 5: Solve for x
    x = 325,838,697.06/19,852.40
  6. Step 6: Final answer
    x = 16,413.07

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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.