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Finding the Fourth Proportional to 13,435.68, 18,536.67 and 7,768.92

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Solution

The fourth proportional to 13,435.68, 18,536.67 and 7,768.92 is: 10,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.68 : 18,536.67 = 7,768.92 : x
  2. Step 2: Convert to fraction form
    13,435.68/18,536.67 = 7,768.92/x
  3. Step 3: Cross multiply
    13,435.68x = 18,536.67 × 7,768.92
  4. Step 4: Simplify right side
    13,435.68x = 144,009,906.30
  5. Step 5: Solve for x
    x = 144,009,906.30/13,435.68
  6. Step 6: Final answer
    x = 10,718.47

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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.