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Finding the Fourth Proportional to 28,182.44, 42,263.82 and 9,458.48

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Solution

The fourth proportional to 28,182.44, 42,263.82 and 9,458.48 is: 14,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.44 : 42,263.82 = 9,458.48 : x
  2. Step 2: Convert to fraction form
    28,182.44/42,263.82 = 9,458.48/x
  3. Step 3: Cross multiply
    28,182.44x = 42,263.82 × 9,458.48
  4. Step 4: Simplify right side
    28,182.44x = 399,751,284.87
  5. Step 5: Solve for x
    x = 399,751,284.87/28,182.44
  6. Step 6: Final answer
    x = 14,184.41

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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.