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Finding the Fourth Proportional to 13,897.40, 20,851.44 and 8,354.72

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Solution

The fourth proportional to 13,897.40, 20,851.44 and 8,354.72 is: 12,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.40 : 20,851.44 = 8,354.72 : x
  2. Step 2: Convert to fraction form
    13,897.40/20,851.44 = 8,354.72/x
  3. Step 3: Cross multiply
    13,897.40x = 20,851.44 × 8,354.72
  4. Step 4: Simplify right side
    13,897.40x = 174,207,942.80
  5. Step 5: Solve for x
    x = 174,207,942.80/13,897.40
  6. Step 6: Final answer
    x = 12,535.29

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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.