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Finding the Fourth Proportional to 21,970.96, 30,369.76 and 20,227.16

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Solution

The fourth proportional to 21,970.96, 30,369.76 and 20,227.16 is: 27,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.96 : 30,369.76 = 20,227.16 : x
  2. Step 2: Convert to fraction form
    21,970.96/30,369.76 = 20,227.16/x
  3. Step 3: Cross multiply
    21,970.96x = 30,369.76 × 20,227.16
  4. Step 4: Simplify right side
    21,970.96x = 614,293,994.68
  5. Step 5: Solve for x
    x = 614,293,994.68/21,970.96
  6. Step 6: Final answer
    x = 27,959.36

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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.