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Finding the Fourth Proportional to 13,727.22, 18,941.07 and 7,677.57

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Solution

The fourth proportional to 13,727.22, 18,941.07 and 7,677.57 is: 10,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.22 : 18,941.07 = 7,677.57 : x
  2. Step 2: Convert to fraction form
    13,727.22/18,941.07 = 7,677.57/x
  3. Step 3: Cross multiply
    13,727.22x = 18,941.07 × 7,677.57
  4. Step 4: Simplify right side
    13,727.22x = 145,421,384.08
  5. Step 5: Solve for x
    x = 145,421,384.08/13,727.22
  6. Step 6: Final answer
    x = 10,593.65

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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.