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Finding the Fourth Proportional to 13,637.76, 18,820.08 and 7,669.44

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Solution

The fourth proportional to 13,637.76, 18,820.08 and 7,669.44 is: 10,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.76 : 18,820.08 = 7,669.44 : x
  2. Step 2: Convert to fraction form
    13,637.76/18,820.08 = 7,669.44/x
  3. Step 3: Cross multiply
    13,637.76x = 18,820.08 × 7,669.44
  4. Step 4: Simplify right side
    13,637.76x = 144,339,474.36
  5. Step 5: Solve for x
    x = 144,339,474.36/13,637.76
  6. Step 6: Final answer
    x = 10,583.81

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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.