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Finding the Fourth Proportional to 13,716.92, 18,929.38 and 7,429.30

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Solution

The fourth proportional to 13,716.92, 18,929.38 and 7,429.30 is: 10,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.92 : 18,929.38 = 7,429.30 : x
  2. Step 2: Convert to fraction form
    13,716.92/18,929.38 = 7,429.30/x
  3. Step 3: Cross multiply
    13,716.92x = 18,929.38 × 7,429.30
  4. Step 4: Simplify right side
    13,716.92x = 140,632,042.83
  5. Step 5: Solve for x
    x = 140,632,042.83/13,716.92
  6. Step 6: Final answer
    x = 10,252.45

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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.