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Finding the Fourth Proportional to 21,817.68, 30,106 and 13,324

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Solution

The fourth proportional to 21,817.68, 30,106 and 13,324 is: 18,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.68 : 30,106 = 13,324 : x
  2. Step 2: Convert to fraction form
    21,817.68/30,106 = 13,324/x
  3. Step 3: Cross multiply
    21,817.68x = 30,106 × 13,324
  4. Step 4: Simplify right side
    21,817.68x = 401,132,344
  5. Step 5: Solve for x
    x = 401,132,344/21,817.68
  6. Step 6: Final answer
    x = 18,385.66

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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.