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Finding the Fourth Proportional to 14,089.87, 19,441.23 and 8,039.98

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Solution

The fourth proportional to 14,089.87, 19,441.23 and 8,039.98 is: 11,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.87 : 19,441.23 = 8,039.98 : x
  2. Step 2: Convert to fraction form
    14,089.87/19,441.23 = 8,039.98/x
  3. Step 3: Cross multiply
    14,089.87x = 19,441.23 × 8,039.98
  4. Step 4: Simplify right side
    14,089.87x = 156,307,100.38
  5. Step 5: Solve for x
    x = 156,307,100.38/14,089.87
  6. Step 6: Final answer
    x = 11,093.58

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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.