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Finding the Fourth Proportional to 13,483.26, 20,223 and 5,690.25

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Solution

The fourth proportional to 13,483.26, 20,223 and 5,690.25 is: 8,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.26 : 20,223 = 5,690.25 : x
  2. Step 2: Convert to fraction form
    13,483.26/20,223 = 5,690.25/x
  3. Step 3: Cross multiply
    13,483.26x = 20,223 × 5,690.25
  4. Step 4: Simplify right side
    13,483.26x = 115,073,925.75
  5. Step 5: Solve for x
    x = 115,073,925.75/13,483.26
  6. Step 6: Final answer
    x = 8,534.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.