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Finding the Fourth Proportional to 14,016.14, 19,341.29 and 7,728.38

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Solution

The fourth proportional to 14,016.14, 19,341.29 and 7,728.38 is: 10,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.14 : 19,341.29 = 7,728.38 : x
  2. Step 2: Convert to fraction form
    14,016.14/19,341.29 = 7,728.38/x
  3. Step 3: Cross multiply
    14,016.14x = 19,341.29 × 7,728.38
  4. Step 4: Simplify right side
    14,016.14x = 149,476,800.17
  5. Step 5: Solve for x
    x = 149,476,800.17/14,016.14
  6. Step 6: Final answer
    x = 10,664.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.