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Finding the Fourth Proportional to 13,435.82, 18,541.54 and 7,770.56

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Solution

The fourth proportional to 13,435.82, 18,541.54 and 7,770.56 is: 10,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.82 : 18,541.54 = 7,770.56 : x
  2. Step 2: Convert to fraction form
    13,435.82/18,541.54 = 7,770.56/x
  3. Step 3: Cross multiply
    13,435.82x = 18,541.54 × 7,770.56
  4. Step 4: Simplify right side
    13,435.82x = 144,078,149.06
  5. Step 5: Solve for x
    x = 144,078,149.06/13,435.82
  6. Step 6: Final answer
    x = 10,723.44

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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.