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Finding the Fourth Proportional to 12,409.68, 18,630.32 and 8,045.40

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Solution

The fourth proportional to 12,409.68, 18,630.32 and 8,045.40 is: 12,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.68 : 18,630.32 = 8,045.40 : x
  2. Step 2: Convert to fraction form
    12,409.68/18,630.32 = 8,045.40/x
  3. Step 3: Cross multiply
    12,409.68x = 18,630.32 × 8,045.40
  4. Step 4: Simplify right side
    12,409.68x = 149,888,376.53
  5. Step 5: Solve for x
    x = 149,888,376.53/12,409.68
  6. Step 6: Final answer
    x = 12,078.34

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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.