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Finding the Fourth Proportional to 14,644.44, 21,959.33 and 4,782.60

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Solution

The fourth proportional to 14,644.44, 21,959.33 and 4,782.60 is: 7,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.44 : 21,959.33 = 4,782.60 : x
  2. Step 2: Convert to fraction form
    14,644.44/21,959.33 = 4,782.60/x
  3. Step 3: Cross multiply
    14,644.44x = 21,959.33 × 4,782.60
  4. Step 4: Simplify right side
    14,644.44x = 105,022,667.75
  5. Step 5: Solve for x
    x = 105,022,667.75/14,644.44
  6. Step 6: Final answer
    x = 7,171.50

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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.