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Finding the Fourth Proportional to 13,729.41, 18,941.45 and 8,064.34

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Solution

The fourth proportional to 13,729.41, 18,941.45 and 8,064.34 is: 11,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.41 : 18,941.45 = 8,064.34 : x
  2. Step 2: Convert to fraction form
    13,729.41/18,941.45 = 8,064.34/x
  3. Step 3: Cross multiply
    13,729.41x = 18,941.45 × 8,064.34
  4. Step 4: Simplify right side
    13,729.41x = 152,750,205.22
  5. Step 5: Solve for x
    x = 152,750,205.22/13,729.41
  6. Step 6: Final answer
    x = 11,125.77

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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.