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Finding the Fourth Proportional to 21,894.56, 32,767.14 and 18,388.16

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Solution

The fourth proportional to 21,894.56, 32,767.14 and 18,388.16 is: 27,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.56 : 32,767.14 = 18,388.16 : x
  2. Step 2: Convert to fraction form
    21,894.56/32,767.14 = 18,388.16/x
  3. Step 3: Cross multiply
    21,894.56x = 32,767.14 × 18,388.16
  4. Step 4: Simplify right side
    21,894.56x = 602,527,413.06
  5. Step 5: Solve for x
    x = 602,527,413.06/21,894.56
  6. Step 6: Final answer
    x = 27,519.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.