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Finding the Fourth Proportional to 14,559.50, 21,833.87 and 5,197.01

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Solution

The fourth proportional to 14,559.50, 21,833.87 and 5,197.01 is: 7,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.50 : 21,833.87 = 5,197.01 : x
  2. Step 2: Convert to fraction form
    14,559.50/21,833.87 = 5,197.01/x
  3. Step 3: Cross multiply
    14,559.50x = 21,833.87 × 5,197.01
  4. Step 4: Simplify right side
    14,559.50x = 113,470,705.57
  5. Step 5: Solve for x
    x = 113,470,705.57/14,559.50
  6. Step 6: Final answer
    x = 7,793.58

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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.