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Finding the Fourth Proportional to 14,170.23, 21,255.68 and 6,775.47

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Solution

The fourth proportional to 14,170.23, 21,255.68 and 6,775.47 is: 10,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.23 : 21,255.68 = 6,775.47 : x
  2. Step 2: Convert to fraction form
    14,170.23/21,255.68 = 6,775.47/x
  3. Step 3: Cross multiply
    14,170.23x = 21,255.68 × 6,775.47
  4. Step 4: Simplify right side
    14,170.23x = 144,017,239.11
  5. Step 5: Solve for x
    x = 144,017,239.11/14,170.23
  6. Step 6: Final answer
    x = 10,163.37

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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.