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Finding the Fourth Proportional to 13,892.41, 20,829.39 and 7,655.41

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Solution

The fourth proportional to 13,892.41, 20,829.39 and 7,655.41 is: 11,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.41 : 20,829.39 = 7,655.41 : x
  2. Step 2: Convert to fraction form
    13,892.41/20,829.39 = 7,655.41/x
  3. Step 3: Cross multiply
    13,892.41x = 20,829.39 × 7,655.41
  4. Step 4: Simplify right side
    13,892.41x = 159,457,520.50
  5. Step 5: Solve for x
    x = 159,457,520.50/13,892.41
  6. Step 6: Final answer
    x = 11,478.03

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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.