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Finding the Fourth Proportional to 13,701.58, 18,908.10 and 7,735.20

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Solution

The fourth proportional to 13,701.58, 18,908.10 and 7,735.20 is: 10,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.58 : 18,908.10 = 7,735.20 : x
  2. Step 2: Convert to fraction form
    13,701.58/18,908.10 = 7,735.20/x
  3. Step 3: Cross multiply
    13,701.58x = 18,908.10 × 7,735.20
  4. Step 4: Simplify right side
    13,701.58x = 146,257,935.12
  5. Step 5: Solve for x
    x = 146,257,935.12/13,701.58
  6. Step 6: Final answer
    x = 10,674.53

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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.