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Finding the Fourth Proportional to 14,563.50, 21,843.39 and 4,701.75

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Solution

The fourth proportional to 14,563.50, 21,843.39 and 4,701.75 is: 7,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.50 : 21,843.39 = 4,701.75 : x
  2. Step 2: Convert to fraction form
    14,563.50/21,843.39 = 4,701.75/x
  3. Step 3: Cross multiply
    14,563.50x = 21,843.39 × 4,701.75
  4. Step 4: Simplify right side
    14,563.50x = 102,702,158.93
  5. Step 5: Solve for x
    x = 102,702,158.93/14,563.50
  6. Step 6: Final answer
    x = 7,052.02

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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.