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Finding the Fourth Proportional to 19,897.44, 27,396 and 17,413.44

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Solution

The fourth proportional to 19,897.44, 27,396 and 17,413.44 is: 23,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.44 : 27,396 = 17,413.44 : x
  2. Step 2: Convert to fraction form
    19,897.44/27,396 = 17,413.44/x
  3. Step 3: Cross multiply
    19,897.44x = 27,396 × 17,413.44
  4. Step 4: Simplify right side
    19,897.44x = 477,058,602.24
  5. Step 5: Solve for x
    x = 477,058,602.24/19,897.44
  6. Step 6: Final answer
    x = 23,975.88

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1.5x scale

Why These Related Problems?

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