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Finding the Fourth Proportional to 13,897.33, 20,851.34 and 8,354.50

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Solution

The fourth proportional to 13,897.33, 20,851.34 and 8,354.50 is: 12,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.33 : 20,851.34 = 8,354.50 : x
  2. Step 2: Convert to fraction form
    13,897.33/20,851.34 = 8,354.50/x
  3. Step 3: Cross multiply
    13,897.33x = 20,851.34 × 8,354.50
  4. Step 4: Simplify right side
    13,897.33x = 174,202,426.13
  5. Step 5: Solve for x
    x = 174,202,426.13/13,897.33
  6. Step 6: Final answer
    x = 12,534.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.