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Finding the Fourth Proportional to 12,012.98, 16,573.52 and 7,535.09

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Solution

The fourth proportional to 12,012.98, 16,573.52 and 7,535.09 is: 10,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.98 : 16,573.52 = 7,535.09 : x
  2. Step 2: Convert to fraction form
    12,012.98/16,573.52 = 7,535.09/x
  3. Step 3: Cross multiply
    12,012.98x = 16,573.52 × 7,535.09
  4. Step 4: Simplify right side
    12,012.98x = 124,882,989.29
  5. Step 5: Solve for x
    x = 124,882,989.29/12,012.98
  6. Step 6: Final answer
    x = 10,395.67

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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.