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Finding the Fourth Proportional to 13,653, 20,482.75 and 4,419

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Solution

The fourth proportional to 13,653, 20,482.75 and 4,419 is: 6,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653 : 20,482.75 = 4,419 : x
  2. Step 2: Convert to fraction form
    13,653/20,482.75 = 4,419/x
  3. Step 3: Cross multiply
    13,653x = 20,482.75 × 4,419
  4. Step 4: Simplify right side
    13,653x = 90,513,272.25
  5. Step 5: Solve for x
    x = 90,513,272.25/13,653
  6. Step 6: Final answer
    x = 6,629.55

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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.