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Finding the Fourth Proportional to 14,239.87, 19,651.10 and 7,866.38

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Solution

The fourth proportional to 14,239.87, 19,651.10 and 7,866.38 is: 10,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.87 : 19,651.10 = 7,866.38 : x
  2. Step 2: Convert to fraction form
    14,239.87/19,651.10 = 7,866.38/x
  3. Step 3: Cross multiply
    14,239.87x = 19,651.10 × 7,866.38
  4. Step 4: Simplify right side
    14,239.87x = 154,583,029.81
  5. Step 5: Solve for x
    x = 154,583,029.81/14,239.87
  6. Step 6: Final answer
    x = 10,855.65

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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.