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Finding the Fourth Proportional to 13,992.28, 19,309.71 and 7,705.06

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Solution

The fourth proportional to 13,992.28, 19,309.71 and 7,705.06 is: 10,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.28 : 19,309.71 = 7,705.06 : x
  2. Step 2: Convert to fraction form
    13,992.28/19,309.71 = 7,705.06/x
  3. Step 3: Cross multiply
    13,992.28x = 19,309.71 × 7,705.06
  4. Step 4: Simplify right side
    13,992.28x = 148,782,474.13
  5. Step 5: Solve for x
    x = 148,782,474.13/13,992.28
  6. Step 6: Final answer
    x = 10,633.18

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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.