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Finding the Fourth Proportional to 14,729.46, 20,307.15 and 12,202.26

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Solution

The fourth proportional to 14,729.46, 20,307.15 and 12,202.26 is: 16,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729.46 : 20,307.15 = 12,202.26 : x
  2. Step 2: Convert to fraction form
    14,729.46/20,307.15 = 12,202.26/x
  3. Step 3: Cross multiply
    14,729.46x = 20,307.15 × 12,202.26
  4. Step 4: Simplify right side
    14,729.46x = 247,793,124.16
  5. Step 5: Solve for x
    x = 247,793,124.16/14,729.46
  6. Step 6: Final answer
    x = 16,822.96

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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.