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Finding the Fourth Proportional to 13,701.51, 18,908.96 and 7,731

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Solution

The fourth proportional to 13,701.51, 18,908.96 and 7,731 is: 10,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.51 : 18,908.96 = 7,731 : x
  2. Step 2: Convert to fraction form
    13,701.51/18,908.96 = 7,731/x
  3. Step 3: Cross multiply
    13,701.51x = 18,908.96 × 7,731
  4. Step 4: Simplify right side
    13,701.51x = 146,185,131.11
  5. Step 5: Solve for x
    x = 146,185,131.11/13,701.51
  6. Step 6: Final answer
    x = 10,669.27

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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.