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Finding the Fourth Proportional to 13,802.67, 19,042.83 and 10,616.94

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Solution

The fourth proportional to 13,802.67, 19,042.83 and 10,616.94 is: 14,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.67 : 19,042.83 = 10,616.94 : x
  2. Step 2: Convert to fraction form
    13,802.67/19,042.83 = 10,616.94/x
  3. Step 3: Cross multiply
    13,802.67x = 19,042.83 × 10,616.94
  4. Step 4: Simplify right side
    13,802.67x = 202,176,583.54
  5. Step 5: Solve for x
    x = 202,176,583.54/13,802.67
  6. Step 6: Final answer
    x = 14,647.64

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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.