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Finding the Fourth Proportional to 14,299.65, 19,733.65 and 7,926.37

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Solution

The fourth proportional to 14,299.65, 19,733.65 and 7,926.37 is: 10,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.65 : 19,733.65 = 7,926.37 : x
  2. Step 2: Convert to fraction form
    14,299.65/19,733.65 = 7,926.37/x
  3. Step 3: Cross multiply
    14,299.65x = 19,733.65 × 7,926.37
  4. Step 4: Simplify right side
    14,299.65x = 156,416,142.20
  5. Step 5: Solve for x
    x = 156,416,142.20/14,299.65
  6. Step 6: Final answer
    x = 10,938.46

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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.