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Finding the Fourth Proportional to 13,814.97, 19,063.98 and 7,845.86

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Solution

The fourth proportional to 13,814.97, 19,063.98 and 7,845.86 is: 10,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.97 : 19,063.98 = 7,845.86 : x
  2. Step 2: Convert to fraction form
    13,814.97/19,063.98 = 7,845.86/x
  3. Step 3: Cross multiply
    13,814.97x = 19,063.98 × 7,845.86
  4. Step 4: Simplify right side
    13,814.97x = 149,573,222.80
  5. Step 5: Solve for x
    x = 149,573,222.80/13,814.97
  6. Step 6: Final answer
    x = 10,826.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.