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Finding the Fourth Proportional to 12,013.32, 16,578.06 and 6,636.17

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Solution

The fourth proportional to 12,013.32, 16,578.06 and 6,636.17 is: 9,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.32 : 16,578.06 = 6,636.17 : x
  2. Step 2: Convert to fraction form
    12,013.32/16,578.06 = 6,636.17/x
  3. Step 3: Cross multiply
    12,013.32x = 16,578.06 × 6,636.17
  4. Step 4: Simplify right side
    12,013.32x = 110,014,741.54
  5. Step 5: Solve for x
    x = 110,014,741.54/12,013.32
  6. Step 6: Final answer
    x = 9,157.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.