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Finding the Fourth Proportional to 14,299.90, 19,733.07 and 7,926.42

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Solution

The fourth proportional to 14,299.90, 19,733.07 and 7,926.42 is: 10,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.90 : 19,733.07 = 7,926.42 : x
  2. Step 2: Convert to fraction form
    14,299.90/19,733.07 = 7,926.42/x
  3. Step 3: Cross multiply
    14,299.90x = 19,733.07 × 7,926.42
  4. Step 4: Simplify right side
    14,299.90x = 156,412,548.85
  5. Step 5: Solve for x
    x = 156,412,548.85/14,299.90
  6. Step 6: Final answer
    x = 10,938.02

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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.