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Finding the Fourth Proportional to 12,406.48, 17,114.52 and 7,682.56

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Solution

The fourth proportional to 12,406.48, 17,114.52 and 7,682.56 is: 10,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.48 : 17,114.52 = 7,682.56 : x
  2. Step 2: Convert to fraction form
    12,406.48/17,114.52 = 7,682.56/x
  3. Step 3: Cross multiply
    12,406.48x = 17,114.52 × 7,682.56
  4. Step 4: Simplify right side
    12,406.48x = 131,483,283.98
  5. Step 5: Solve for x
    x = 131,483,283.98/12,406.48
  6. Step 6: Final answer
    x = 10,597.95

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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.