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Finding the Fourth Proportional to 28,145.70, 42,218.64 and 8,424.36

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Solution

The fourth proportional to 28,145.70, 42,218.64 and 8,424.36 is: 12,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,145.70 : 42,218.64 = 8,424.36 : x
  2. Step 2: Convert to fraction form
    28,145.70/42,218.64 = 8,424.36/x
  3. Step 3: Cross multiply
    28,145.70x = 42,218.64 × 8,424.36
  4. Step 4: Simplify right side
    28,145.70x = 355,665,022.07
  5. Step 5: Solve for x
    x = 355,665,022.07/28,145.70
  6. Step 6: Final answer
    x = 12,636.57

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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.