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Finding the Fourth Proportional to 14,299.25, 19,733.69 and 7,926.51

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Solution

The fourth proportional to 14,299.25, 19,733.69 and 7,926.51 is: 10,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.25 : 19,733.69 = 7,926.51 : x
  2. Step 2: Convert to fraction form
    14,299.25/19,733.69 = 7,926.51/x
  3. Step 3: Cross multiply
    14,299.25x = 19,733.69 × 7,926.51
  4. Step 4: Simplify right side
    14,299.25x = 156,419,251.49
  5. Step 5: Solve for x
    x = 156,419,251.49/14,299.25
  6. Step 6: Final answer
    x = 10,938.99

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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.