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Finding the Fourth Proportional to 13,802.25, 19,048.14 and 7,834.44

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Solution

The fourth proportional to 13,802.25, 19,048.14 and 7,834.44 is: 10,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.25 : 19,048.14 = 7,834.44 : x
  2. Step 2: Convert to fraction form
    13,802.25/19,048.14 = 7,834.44/x
  3. Step 3: Cross multiply
    13,802.25x = 19,048.14 × 7,834.44
  4. Step 4: Simplify right side
    13,802.25x = 149,231,509.94
  5. Step 5: Solve for x
    x = 149,231,509.94/13,802.25
  6. Step 6: Final answer
    x = 10,812.11

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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.