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Finding the Fourth Proportional to 12,578.32, 18,838.72 and 6,009.12

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Solution

The fourth proportional to 12,578.32, 18,838.72 and 6,009.12 is: 8,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.32 : 18,838.72 = 6,009.12 : x
  2. Step 2: Convert to fraction form
    12,578.32/18,838.72 = 6,009.12/x
  3. Step 3: Cross multiply
    12,578.32x = 18,838.72 × 6,009.12
  4. Step 4: Simplify right side
    12,578.32x = 113,204,129.13
  5. Step 5: Solve for x
    x = 113,204,129.13/12,578.32
  6. Step 6: Final answer
    x = 8,999.94

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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.