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Finding the Fourth Proportional to 12,012.04, 16,576.90 and 7,535.98

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Solution

The fourth proportional to 12,012.04, 16,576.90 and 7,535.98 is: 10,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.04 : 16,576.90 = 7,535.98 : x
  2. Step 2: Convert to fraction form
    12,012.04/16,576.90 = 7,535.98/x
  3. Step 3: Cross multiply
    12,012.04x = 16,576.90 × 7,535.98
  4. Step 4: Simplify right side
    12,012.04x = 124,923,186.86
  5. Step 5: Solve for x
    x = 124,923,186.86/12,012.04
  6. Step 6: Final answer
    x = 10,399.83

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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.