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Finding the Fourth Proportional to 21,866.40, 30,172.23 and 12,433.14

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Solution

The fourth proportional to 21,866.40, 30,172.23 and 12,433.14 is: 17,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.40 : 30,172.23 = 12,433.14 : x
  2. Step 2: Convert to fraction form
    21,866.40/30,172.23 = 12,433.14/x
  3. Step 3: Cross multiply
    21,866.40x = 30,172.23 × 12,433.14
  4. Step 4: Simplify right side
    21,866.40x = 375,135,559.70
  5. Step 5: Solve for x
    x = 375,135,559.70/21,866.40
  6. Step 6: Final answer
    x = 17,155.80

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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.