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Finding the Fourth Proportional to 13,564.58, 20,354.43 and 7,324.46

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Solution

The fourth proportional to 13,564.58, 20,354.43 and 7,324.46 is: 10,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.58 : 20,354.43 = 7,324.46 : x
  2. Step 2: Convert to fraction form
    13,564.58/20,354.43 = 7,324.46/x
  3. Step 3: Cross multiply
    13,564.58x = 20,354.43 × 7,324.46
  4. Step 4: Simplify right side
    13,564.58x = 149,085,208.36
  5. Step 5: Solve for x
    x = 149,085,208.36/13,564.58
  6. Step 6: Final answer
    x = 10,990.77

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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.