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Finding the Fourth Proportional to 14,034.69, 19,369.98 and 8,731.20

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Solution

The fourth proportional to 14,034.69, 19,369.98 and 8,731.20 is: 12,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.69 : 19,369.98 = 8,731.20 : x
  2. Step 2: Convert to fraction form
    14,034.69/19,369.98 = 8,731.20/x
  3. Step 3: Cross multiply
    14,034.69x = 19,369.98 × 8,731.20
  4. Step 4: Simplify right side
    14,034.69x = 169,123,169.38
  5. Step 5: Solve for x
    x = 169,123,169.38/14,034.69
  6. Step 6: Final answer
    x = 12,050.37

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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.