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Finding the Fourth Proportional to 13,564.33, 20,354.06 and 7,324.21

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Solution

The fourth proportional to 13,564.33, 20,354.06 and 7,324.21 is: 10,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.33 : 20,354.06 = 7,324.21 : x
  2. Step 2: Convert to fraction form
    13,564.33/20,354.06 = 7,324.21/x
  3. Step 3: Cross multiply
    13,564.33x = 20,354.06 × 7,324.21
  4. Step 4: Simplify right side
    13,564.33x = 149,077,373.17
  5. Step 5: Solve for x
    x = 149,077,373.17/13,564.33
  6. Step 6: Final answer
    x = 10,990.40

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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.