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Finding the Fourth Proportional to 20,766.30, 31,076.55 and 14,205.30

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Solution

The fourth proportional to 20,766.30, 31,076.55 and 14,205.30 is: 21,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.30 : 31,076.55 = 14,205.30 : x
  2. Step 2: Convert to fraction form
    20,766.30/31,076.55 = 14,205.30/x
  3. Step 3: Cross multiply
    20,766.30x = 31,076.55 × 14,205.30
  4. Step 4: Simplify right side
    20,766.30x = 441,451,715.72
  5. Step 5: Solve for x
    x = 441,451,715.72/20,766.30
  6. Step 6: Final answer
    x = 21,258.08

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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.