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Finding the Fourth Proportional to 13,814.67, 19,064.37 and 7,846.46

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Solution

The fourth proportional to 13,814.67, 19,064.37 and 7,846.46 is: 10,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.67 : 19,064.37 = 7,846.46 : x
  2. Step 2: Convert to fraction form
    13,814.67/19,064.37 = 7,846.46/x
  3. Step 3: Cross multiply
    13,814.67x = 19,064.37 × 7,846.46
  4. Step 4: Simplify right side
    13,814.67x = 149,587,721.31
  5. Step 5: Solve for x
    x = 149,587,721.31/13,814.67
  6. Step 6: Final answer
    x = 10,828.18

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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.