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Finding the Fourth Proportional to 28,285.80, 42,427.26 and 9,574.80

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Solution

The fourth proportional to 28,285.80, 42,427.26 and 9,574.80 is: 14,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,285.80 : 42,427.26 = 9,574.80 : x
  2. Step 2: Convert to fraction form
    28,285.80/42,427.26 = 9,574.80/x
  3. Step 3: Cross multiply
    28,285.80x = 42,427.26 × 9,574.80
  4. Step 4: Simplify right side
    28,285.80x = 406,232,529.05
  5. Step 5: Solve for x
    x = 406,232,529.05/28,285.80
  6. Step 6: Final answer
    x = 14,361.71

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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.