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Finding the Fourth Proportional to 12,378.15, 18,554.67 and 6,128.82

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Solution

The fourth proportional to 12,378.15, 18,554.67 and 6,128.82 is: 9,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.15 : 18,554.67 = 6,128.82 : x
  2. Step 2: Convert to fraction form
    12,378.15/18,554.67 = 6,128.82/x
  3. Step 3: Cross multiply
    12,378.15x = 18,554.67 × 6,128.82
  4. Step 4: Simplify right side
    12,378.15x = 113,718,232.59
  5. Step 5: Solve for x
    x = 113,718,232.59/12,378.15
  6. Step 6: Final answer
    x = 9,187.01

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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.