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Finding the Fourth Proportional to 27,096, 40,720.41 and 16,007.64

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Solution

The fourth proportional to 27,096, 40,720.41 and 16,007.64 is: 24,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096 : 40,720.41 = 16,007.64 : x
  2. Step 2: Convert to fraction form
    27,096/40,720.41 = 16,007.64/x
  3. Step 3: Cross multiply
    27,096x = 40,720.41 × 16,007.64
  4. Step 4: Simplify right side
    27,096x = 651,837,663.93
  5. Step 5: Solve for x
    x = 651,837,663.93/27,096
  6. Step 6: Final answer
    x = 24,056.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.