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Finding the Fourth Proportional to 12,893.16, 19,322.46 and 5,952.36

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Solution

The fourth proportional to 12,893.16, 19,322.46 and 5,952.36 is: 8,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.16 : 19,322.46 = 5,952.36 : x
  2. Step 2: Convert to fraction form
    12,893.16/19,322.46 = 5,952.36/x
  3. Step 3: Cross multiply
    12,893.16x = 19,322.46 × 5,952.36
  4. Step 4: Simplify right side
    12,893.16x = 115,014,238.01
  5. Step 5: Solve for x
    x = 115,014,238.01/12,893.16
  6. Step 6: Final answer
    x = 8,920.56

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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.