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Finding the Fourth Proportional to 12,409.98, 18,610.74 and 5,012.52

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Solution

The fourth proportional to 12,409.98, 18,610.74 and 5,012.52 is: 7,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.98 : 18,610.74 = 5,012.52 : x
  2. Step 2: Convert to fraction form
    12,409.98/18,610.74 = 5,012.52/x
  3. Step 3: Cross multiply
    12,409.98x = 18,610.74 × 5,012.52
  4. Step 4: Simplify right side
    12,409.98x = 93,286,706.46
  5. Step 5: Solve for x
    x = 93,286,706.46/12,409.98
  6. Step 6: Final answer
    x = 7,517.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.