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Finding the Fourth Proportional to 13,950.72, 19,253.21 and 7,664.31

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Solution

The fourth proportional to 13,950.72, 19,253.21 and 7,664.31 is: 10,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.72 : 19,253.21 = 7,664.31 : x
  2. Step 2: Convert to fraction form
    13,950.72/19,253.21 = 7,664.31/x
  3. Step 3: Cross multiply
    13,950.72x = 19,253.21 × 7,664.31
  4. Step 4: Simplify right side
    13,950.72x = 147,562,569.94
  5. Step 5: Solve for x
    x = 147,562,569.94/13,950.72
  6. Step 6: Final answer
    x = 10,577.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.