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Finding the Fourth Proportional to 14,015.16, 19,340.84 and 7,727.54

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Solution

The fourth proportional to 14,015.16, 19,340.84 and 7,727.54 is: 10,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.16 : 19,340.84 = 7,727.54 : x
  2. Step 2: Convert to fraction form
    14,015.16/19,340.84 = 7,727.54/x
  3. Step 3: Cross multiply
    14,015.16x = 19,340.84 × 7,727.54
  4. Step 4: Simplify right side
    14,015.16x = 149,457,037.35
  5. Step 5: Solve for x
    x = 149,457,037.35/14,015.16
  6. Step 6: Final answer
    x = 10,663.96

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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.