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Finding the Fourth Proportional to 14,785.92, 20,381.76 and 11,636.64

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Solution

The fourth proportional to 14,785.92, 20,381.76 and 11,636.64 is: 16,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.92 : 20,381.76 = 11,636.64 : x
  2. Step 2: Convert to fraction form
    14,785.92/20,381.76 = 11,636.64/x
  3. Step 3: Cross multiply
    14,785.92x = 20,381.76 × 11,636.64
  4. Step 4: Simplify right side
    14,785.92x = 237,175,203.69
  5. Step 5: Solve for x
    x = 237,175,203.69/14,785.92
  6. Step 6: Final answer
    x = 16,040.61

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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.