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Finding the Fourth Proportional to 12,351.54, 18,505.74 and 10,284.84

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Solution

The fourth proportional to 12,351.54, 18,505.74 and 10,284.84 is: 15,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.54 : 18,505.74 = 10,284.84 : x
  2. Step 2: Convert to fraction form
    12,351.54/18,505.74 = 10,284.84/x
  3. Step 3: Cross multiply
    12,351.54x = 18,505.74 × 10,284.84
  4. Step 4: Simplify right side
    12,351.54x = 190,328,574.98
  5. Step 5: Solve for x
    x = 190,328,574.98/12,351.54
  6. Step 6: Final answer
    x = 15,409.30

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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.