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Finding the Fourth Proportional to 13,814.10, 19,063.94 and 7,845.57

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Solution

The fourth proportional to 13,814.10, 19,063.94 and 7,845.57 is: 10,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.10 : 19,063.94 = 7,845.57 : x
  2. Step 2: Convert to fraction form
    13,814.10/19,063.94 = 7,845.57/x
  3. Step 3: Cross multiply
    13,814.10x = 19,063.94 × 7,845.57
  4. Step 4: Simplify right side
    13,814.10x = 149,567,436.52
  5. Step 5: Solve for x
    x = 149,567,436.52/13,814.10
  6. Step 6: Final answer
    x = 10,827.16

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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.