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Finding the Fourth Proportional to 20,968, 31,412.36 and 12,393.86

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Solution

The fourth proportional to 20,968, 31,412.36 and 12,393.86 is: 18,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968 : 31,412.36 = 12,393.86 : x
  2. Step 2: Convert to fraction form
    20,968/31,412.36 = 12,393.86/x
  3. Step 3: Cross multiply
    20,968x = 31,412.36 × 12,393.86
  4. Step 4: Simplify right side
    20,968x = 389,320,392.11
  5. Step 5: Solve for x
    x = 389,320,392.11/20,968
  6. Step 6: Final answer
    x = 18,567.36

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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.