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Finding the Fourth Proportional to 13,433.16, 18,536.67 and 7,768.28

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Solution

The fourth proportional to 13,433.16, 18,536.67 and 7,768.28 is: 10,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.16 : 18,536.67 = 7,768.28 : x
  2. Step 2: Convert to fraction form
    13,433.16/18,536.67 = 7,768.28/x
  3. Step 3: Cross multiply
    13,433.16x = 18,536.67 × 7,768.28
  4. Step 4: Simplify right side
    13,433.16x = 143,998,042.83
  5. Step 5: Solve for x
    x = 143,998,042.83/13,433.16
  6. Step 6: Final answer
    x = 10,719.60

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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.