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Finding the Fourth Proportional to 21,954.48, 30,297.66 and 12,998.70

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Solution

The fourth proportional to 21,954.48, 30,297.66 and 12,998.70 is: 17,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.48 : 30,297.66 = 12,998.70 : x
  2. Step 2: Convert to fraction form
    21,954.48/30,297.66 = 12,998.70/x
  3. Step 3: Cross multiply
    21,954.48x = 30,297.66 × 12,998.70
  4. Step 4: Simplify right side
    21,954.48x = 393,830,193.04
  5. Step 5: Solve for x
    x = 393,830,193.04/21,954.48
  6. Step 6: Final answer
    x = 17,938.49

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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.