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Finding the Fourth Proportional to 20,894.93, 31,370.21 and 12,136.13

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Solution

The fourth proportional to 20,894.93, 31,370.21 and 12,136.13 is: 18,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.93 : 31,370.21 = 12,136.13 : x
  2. Step 2: Convert to fraction form
    20,894.93/31,370.21 = 12,136.13/x
  3. Step 3: Cross multiply
    20,894.93x = 31,370.21 × 12,136.13
  4. Step 4: Simplify right side
    20,894.93x = 380,712,729.16
  5. Step 5: Solve for x
    x = 380,712,729.16/20,894.93
  6. Step 6: Final answer
    x = 18,220.34

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