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Finding the Fourth Proportional to 13,802.44, 19,046.94 and 7,834

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Solution

The fourth proportional to 13,802.44, 19,046.94 and 7,834 is: 10,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.44 : 19,046.94 = 7,834 : x
  2. Step 2: Convert to fraction form
    13,802.44/19,046.94 = 7,834/x
  3. Step 3: Cross multiply
    13,802.44x = 19,046.94 × 7,834
  4. Step 4: Simplify right side
    13,802.44x = 149,213,727.96
  5. Step 5: Solve for x
    x = 149,213,727.96/13,802.44
  6. Step 6: Final answer
    x = 10,810.68

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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.