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Finding the Fourth Proportional to 12,145.26, 16,756.83 and 7,424.58

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Solution

The fourth proportional to 12,145.26, 16,756.83 and 7,424.58 is: 10,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.26 : 16,756.83 = 7,424.58 : x
  2. Step 2: Convert to fraction form
    12,145.26/16,756.83 = 7,424.58/x
  3. Step 3: Cross multiply
    12,145.26x = 16,756.83 × 7,424.58
  4. Step 4: Simplify right side
    12,145.26x = 124,412,424.88
  5. Step 5: Solve for x
    x = 124,412,424.88/12,145.26
  6. Step 6: Final answer
    x = 10,243.70

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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.