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Finding the Fourth Proportional to 13,814.69, 19,064.39 and 7,846.47

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Solution

The fourth proportional to 13,814.69, 19,064.39 and 7,846.47 is: 10,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.69 : 19,064.39 = 7,846.47 : x
  2. Step 2: Convert to fraction form
    13,814.69/19,064.39 = 7,846.47/x
  3. Step 3: Cross multiply
    13,814.69x = 19,064.39 × 7,846.47
  4. Step 4: Simplify right side
    13,814.69x = 149,588,124.97
  5. Step 5: Solve for x
    x = 149,588,124.97/13,814.69
  6. Step 6: Final answer
    x = 10,828.20

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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.