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Finding the Fourth Proportional to 13,716.76, 18,929.12 and 7,429.12

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Solution

The fourth proportional to 13,716.76, 18,929.12 and 7,429.12 is: 10,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.76 : 18,929.12 = 7,429.12 : x
  2. Step 2: Convert to fraction form
    13,716.76/18,929.12 = 7,429.12/x
  3. Step 3: Cross multiply
    13,716.76x = 18,929.12 × 7,429.12
  4. Step 4: Simplify right side
    13,716.76x = 140,626,703.97
  5. Step 5: Solve for x
    x = 140,626,703.97/13,716.76
  6. Step 6: Final answer
    x = 10,252.18

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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.