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Finding the Fourth Proportional to 12,409.16, 18,636.18 and 7,738.25

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Solution

The fourth proportional to 12,409.16, 18,636.18 and 7,738.25 is: 11,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.16 : 18,636.18 = 7,738.25 : x
  2. Step 2: Convert to fraction form
    12,409.16/18,636.18 = 7,738.25/x
  3. Step 3: Cross multiply
    12,409.16x = 18,636.18 × 7,738.25
  4. Step 4: Simplify right side
    12,409.16x = 144,211,326.70
  5. Step 5: Solve for x
    x = 144,211,326.70/12,409.16
  6. Step 6: Final answer
    x = 11,621.37

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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.