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Finding the Fourth Proportional to 13,483.92, 20,223.36 and 4,121.64

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Solution

The fourth proportional to 13,483.92, 20,223.36 and 4,121.64 is: 6,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.92 : 20,223.36 = 4,121.64 : x
  2. Step 2: Convert to fraction form
    13,483.92/20,223.36 = 4,121.64/x
  3. Step 3: Cross multiply
    13,483.92x = 20,223.36 × 4,121.64
  4. Step 4: Simplify right side
    13,483.92x = 83,353,409.51
  5. Step 5: Solve for x
    x = 83,353,409.51/13,483.92
  6. Step 6: Final answer
    x = 6,181.69

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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.