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Finding the Fourth Proportional to 13,814.42, 19,063.94 and 7,846.13

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Solution

The fourth proportional to 13,814.42, 19,063.94 and 7,846.13 is: 10,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.42 : 19,063.94 = 7,846.13 : x
  2. Step 2: Convert to fraction form
    13,814.42/19,063.94 = 7,846.13/x
  3. Step 3: Cross multiply
    13,814.42x = 19,063.94 × 7,846.13
  4. Step 4: Simplify right side
    13,814.42x = 149,578,159.98
  5. Step 5: Solve for x
    x = 149,578,159.98/13,814.42
  6. Step 6: Final answer
    x = 10,827.69

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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.