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Finding the Fourth Proportional to 12,858.52, 19,287.64 and 9,757.57

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Solution

The fourth proportional to 12,858.52, 19,287.64 and 9,757.57 is: 14,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.52 : 19,287.64 = 9,757.57 : x
  2. Step 2: Convert to fraction form
    12,858.52/19,287.64 = 9,757.57/x
  3. Step 3: Cross multiply
    12,858.52x = 19,287.64 × 9,757.57
  4. Step 4: Simplify right side
    12,858.52x = 188,200,352.21
  5. Step 5: Solve for x
    x = 188,200,352.21/12,858.52
  6. Step 6: Final answer
    x = 14,636.24

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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.