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Finding the Fourth Proportional to 14,381.89, 19,842.38 and 8,093.05

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Solution

The fourth proportional to 14,381.89, 19,842.38 and 8,093.05 is: 11,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.89 : 19,842.38 = 8,093.05 : x
  2. Step 2: Convert to fraction form
    14,381.89/19,842.38 = 8,093.05/x
  3. Step 3: Cross multiply
    14,381.89x = 19,842.38 × 8,093.05
  4. Step 4: Simplify right side
    14,381.89x = 160,585,332.99
  5. Step 5: Solve for x
    x = 160,585,332.99/14,381.89
  6. Step 6: Final answer
    x = 11,165.80

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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.