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Finding the Fourth Proportional to 14,016.81, 19,342.71 and 7,729.14

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Solution

The fourth proportional to 14,016.81, 19,342.71 and 7,729.14 is: 10,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.81 : 19,342.71 = 7,729.14 : x
  2. Step 2: Convert to fraction form
    14,016.81/19,342.71 = 7,729.14/x
  3. Step 3: Cross multiply
    14,016.81x = 19,342.71 × 7,729.14
  4. Step 4: Simplify right side
    14,016.81x = 149,502,513.57
  5. Step 5: Solve for x
    x = 149,502,513.57/14,016.81
  6. Step 6: Final answer
    x = 10,665.94

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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.