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Finding the Fourth Proportional to 13,768.65, 20,654.47 and 4,406.46

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Solution

The fourth proportional to 13,768.65, 20,654.47 and 4,406.46 is: 6,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.65 : 20,654.47 = 4,406.46 : x
  2. Step 2: Convert to fraction form
    13,768.65/20,654.47 = 4,406.46/x
  3. Step 3: Cross multiply
    13,768.65x = 20,654.47 × 4,406.46
  4. Step 4: Simplify right side
    13,768.65x = 91,013,095.88
  5. Step 5: Solve for x
    x = 91,013,095.88/13,768.65
  6. Step 6: Final answer
    x = 6,610.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.