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Finding the Fourth Proportional to 13,212.45, 19,821.97 and 9,324.45

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Solution

The fourth proportional to 13,212.45, 19,821.97 and 9,324.45 is: 13,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.45 : 19,821.97 = 9,324.45 : x
  2. Step 2: Convert to fraction form
    13,212.45/19,821.97 = 9,324.45/x
  3. Step 3: Cross multiply
    13,212.45x = 19,821.97 × 9,324.45
  4. Step 4: Simplify right side
    13,212.45x = 184,828,869.06
  5. Step 5: Solve for x
    x = 184,828,869.06/13,212.45
  6. Step 6: Final answer
    x = 13,989.00

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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.