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Finding the Fourth Proportional to 24,034.88, 33,162 and 14,603.60

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Solution

The fourth proportional to 24,034.88, 33,162 and 14,603.60 is: 20,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,034.88 : 33,162 = 14,603.60 : x
  2. Step 2: Convert to fraction form
    24,034.88/33,162 = 14,603.60/x
  3. Step 3: Cross multiply
    24,034.88x = 33,162 × 14,603.60
  4. Step 4: Simplify right side
    24,034.88x = 484,284,583.20
  5. Step 5: Solve for x
    x = 484,284,583.20/24,034.88
  6. Step 6: Final answer
    x = 20,149.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.