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Finding the Fourth Proportional to 13,960, 19,267.64 and 8,296.89

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Solution

The fourth proportional to 13,960, 19,267.64 and 8,296.89 is: 11,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960 : 19,267.64 = 8,296.89 : x
  2. Step 2: Convert to fraction form
    13,960/19,267.64 = 8,296.89/x
  3. Step 3: Cross multiply
    13,960x = 19,267.64 × 8,296.89
  4. Step 4: Simplify right side
    13,960x = 159,861,489.64
  5. Step 5: Solve for x
    x = 159,861,489.64/13,960
  6. Step 6: Final answer
    x = 11,451.40

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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.