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Finding the Fourth Proportional to 14,015.81, 19,341.33 and 7,728.14

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Solution

The fourth proportional to 14,015.81, 19,341.33 and 7,728.14 is: 10,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.81 : 19,341.33 = 7,728.14 : x
  2. Step 2: Convert to fraction form
    14,015.81/19,341.33 = 7,728.14/x
  3. Step 3: Cross multiply
    14,015.81x = 19,341.33 × 7,728.14
  4. Step 4: Simplify right side
    14,015.81x = 149,472,506.03
  5. Step 5: Solve for x
    x = 149,472,506.03/14,015.81
  6. Step 6: Final answer
    x = 10,664.56

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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.