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Finding the Fourth Proportional to 13,574.07, 18,728.93 and 9,096.19

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Solution

The fourth proportional to 13,574.07, 18,728.93 and 9,096.19 is: 12,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.07 : 18,728.93 = 9,096.19 : x
  2. Step 2: Convert to fraction form
    13,574.07/18,728.93 = 9,096.19/x
  3. Step 3: Cross multiply
    13,574.07x = 18,728.93 × 9,096.19
  4. Step 4: Simplify right side
    13,574.07x = 170,361,905.78
  5. Step 5: Solve for x
    x = 170,361,905.78/13,574.07
  6. Step 6: Final answer
    x = 12,550.54

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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.