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Finding the Fourth Proportional to 13,324.48, 18,389.76 and 7,734.40

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Solution

The fourth proportional to 13,324.48, 18,389.76 and 7,734.40 is: 10,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.48 : 18,389.76 = 7,734.40 : x
  2. Step 2: Convert to fraction form
    13,324.48/18,389.76 = 7,734.40/x
  3. Step 3: Cross multiply
    13,324.48x = 18,389.76 × 7,734.40
  4. Step 4: Simplify right side
    13,324.48x = 142,233,759.74
  5. Step 5: Solve for x
    x = 142,233,759.74/13,324.48
  6. Step 6: Final answer
    x = 10,674.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.