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Finding the Fourth Proportional to 14,534.44, 21,801.83 and 4,673.70

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Solution

The fourth proportional to 14,534.44, 21,801.83 and 4,673.70 is: 7,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.44 : 21,801.83 = 4,673.70 : x
  2. Step 2: Convert to fraction form
    14,534.44/21,801.83 = 4,673.70/x
  3. Step 3: Cross multiply
    14,534.44x = 21,801.83 × 4,673.70
  4. Step 4: Simplify right side
    14,534.44x = 101,895,189.50
  5. Step 5: Solve for x
    x = 101,895,189.50/14,534.44
  6. Step 6: Final answer
    x = 7,010.60

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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.