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Finding the Fourth Proportional to 13,223.50, 18,239.88 and 9,243.16

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Solution

The fourth proportional to 13,223.50, 18,239.88 and 9,243.16 is: 12,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.50 : 18,239.88 = 9,243.16 : x
  2. Step 2: Convert to fraction form
    13,223.50/18,239.88 = 9,243.16/x
  3. Step 3: Cross multiply
    13,223.50x = 18,239.88 × 9,243.16
  4. Step 4: Simplify right side
    13,223.50x = 168,594,129.22
  5. Step 5: Solve for x
    x = 168,594,129.22/13,223.50
  6. Step 6: Final answer
    x = 12,749.58

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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.