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Finding the Fourth Proportional to 13,243.68, 19,852.48 and 6,323.04

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Solution

The fourth proportional to 13,243.68, 19,852.48 and 6,323.04 is: 9,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.68 : 19,852.48 = 6,323.04 : x
  2. Step 2: Convert to fraction form
    13,243.68/19,852.48 = 6,323.04/x
  3. Step 3: Cross multiply
    13,243.68x = 19,852.48 × 6,323.04
  4. Step 4: Simplify right side
    13,243.68x = 125,528,025.14
  5. Step 5: Solve for x
    x = 125,528,025.14/13,243.68
  6. Step 6: Final answer
    x = 9,478.33

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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.