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Finding the Fourth Proportional to 13,675.77, 18,873 and 7,707.96

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Solution

The fourth proportional to 13,675.77, 18,873 and 7,707.96 is: 10,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.77 : 18,873 = 7,707.96 : x
  2. Step 2: Convert to fraction form
    13,675.77/18,873 = 7,707.96/x
  3. Step 3: Cross multiply
    13,675.77x = 18,873 × 7,707.96
  4. Step 4: Simplify right side
    13,675.77x = 145,472,329.08
  5. Step 5: Solve for x
    x = 145,472,329.08/13,675.77
  6. Step 6: Final answer
    x = 10,637.23

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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.