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Finding the Fourth Proportional to 16,861.71, 23,256 and 14,352.06

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Solution

The fourth proportional to 16,861.71, 23,256 and 14,352.06 is: 19,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861.71 : 23,256 = 14,352.06 : x
  2. Step 2: Convert to fraction form
    16,861.71/23,256 = 14,352.06/x
  3. Step 3: Cross multiply
    16,861.71x = 23,256 × 14,352.06
  4. Step 4: Simplify right side
    16,861.71x = 333,771,507.36
  5. Step 5: Solve for x
    x = 333,771,507.36/16,861.71
  6. Step 6: Final answer
    x = 19,794.64

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Why These Related Problems?

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