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Finding the Fourth Proportional to 13,665.96, 18,859.09 and 7,697.74

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Solution

The fourth proportional to 13,665.96, 18,859.09 and 7,697.74 is: 10,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.96 : 18,859.09 = 7,697.74 : x
  2. Step 2: Convert to fraction form
    13,665.96/18,859.09 = 7,697.74/x
  3. Step 3: Cross multiply
    13,665.96x = 18,859.09 × 7,697.74
  4. Step 4: Simplify right side
    13,665.96x = 145,172,371.46
  5. Step 5: Solve for x
    x = 145,172,371.46/13,665.96
  6. Step 6: Final answer
    x = 10,622.92

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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.