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Finding the Fourth Proportional to 12,754.20, 19,133.93 and 5,354.31

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Solution

The fourth proportional to 12,754.20, 19,133.93 and 5,354.31 is: 8,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.20 : 19,133.93 = 5,354.31 : x
  2. Step 2: Convert to fraction form
    12,754.20/19,133.93 = 5,354.31/x
  3. Step 3: Cross multiply
    12,754.20x = 19,133.93 × 5,354.31
  4. Step 4: Simplify right side
    12,754.20x = 102,448,992.74
  5. Step 5: Solve for x
    x = 102,448,992.74/12,754.20
  6. Step 6: Final answer
    x = 8,032.57

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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.