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Finding the Fourth Proportional to 13,467.52, 20,202 and 5,146

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Solution

The fourth proportional to 13,467.52, 20,202 and 5,146 is: 7,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.52 : 20,202 = 5,146 : x
  2. Step 2: Convert to fraction form
    13,467.52/20,202 = 5,146/x
  3. Step 3: Cross multiply
    13,467.52x = 20,202 × 5,146
  4. Step 4: Simplify right side
    13,467.52x = 103,959,492
  5. Step 5: Solve for x
    x = 103,959,492/13,467.52
  6. Step 6: Final answer
    x = 7,719.28

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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.