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Finding the Fourth Proportional to 13,556, 20,334.12 and 5,348

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Solution

The fourth proportional to 13,556, 20,334.12 and 5,348 is: 8,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,556 : 20,334.12 = 5,348 : x
  2. Step 2: Convert to fraction form
    13,556/20,334.12 = 5,348/x
  3. Step 3: Cross multiply
    13,556x = 20,334.12 × 5,348
  4. Step 4: Simplify right side
    13,556x = 108,746,873.76
  5. Step 5: Solve for x
    x = 108,746,873.76/13,556
  6. Step 6: Final answer
    x = 8,022.05

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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.