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Finding the Fourth Proportional to 14,400.75, 21,609.63 and 6,080.22

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Solution

The fourth proportional to 14,400.75, 21,609.63 and 6,080.22 is: 9,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.75 : 21,609.63 = 6,080.22 : x
  2. Step 2: Convert to fraction form
    14,400.75/21,609.63 = 6,080.22/x
  3. Step 3: Cross multiply
    14,400.75x = 21,609.63 × 6,080.22
  4. Step 4: Simplify right side
    14,400.75x = 131,391,304.52
  5. Step 5: Solve for x
    x = 131,391,304.52/14,400.75
  6. Step 6: Final answer
    x = 9,123.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.