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Finding the Fourth Proportional to 12,128.72, 16,737.69 and 6,823.62

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Solution

The fourth proportional to 12,128.72, 16,737.69 and 6,823.62 is: 9,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.72 : 16,737.69 = 6,823.62 : x
  2. Step 2: Convert to fraction form
    12,128.72/16,737.69 = 6,823.62/x
  3. Step 3: Cross multiply
    12,128.72x = 16,737.69 × 6,823.62
  4. Step 4: Simplify right side
    12,128.72x = 114,211,636.24
  5. Step 5: Solve for x
    x = 114,211,636.24/12,128.72
  6. Step 6: Final answer
    x = 9,416.63

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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.