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Finding the Fourth Proportional to 14,562, 21,843.20 and 4,173.75

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Solution

The fourth proportional to 14,562, 21,843.20 and 4,173.75 is: 6,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 21,843.20 = 4,173.75 : x
  2. Step 2: Convert to fraction form
    14,562/21,843.20 = 4,173.75/x
  3. Step 3: Cross multiply
    14,562x = 21,843.20 × 4,173.75
  4. Step 4: Simplify right side
    14,562x = 91,168,066.43
  5. Step 5: Solve for x
    x = 91,168,066.43/14,562
  6. Step 6: Final answer
    x = 6,260.68

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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.