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Finding the Fourth Proportional to 28,057.65, 42,097.41 and 12,464.34

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Solution

The fourth proportional to 28,057.65, 42,097.41 and 12,464.34 is: 18,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,057.65 : 42,097.41 = 12,464.34 : x
  2. Step 2: Convert to fraction form
    28,057.65/42,097.41 = 12,464.34/x
  3. Step 3: Cross multiply
    28,057.65x = 42,097.41 × 12,464.34
  4. Step 4: Simplify right side
    28,057.65x = 524,716,431.36
  5. Step 5: Solve for x
    x = 524,716,431.36/28,057.65
  6. Step 6: Final answer
    x = 18,701.37

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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.