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Finding the Fourth Proportional to 13,406.31, 18,503.08 and 7,740.27

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Solution

The fourth proportional to 13,406.31, 18,503.08 and 7,740.27 is: 10,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.31 : 18,503.08 = 7,740.27 : x
  2. Step 2: Convert to fraction form
    13,406.31/18,503.08 = 7,740.27/x
  3. Step 3: Cross multiply
    13,406.31x = 18,503.08 × 7,740.27
  4. Step 4: Simplify right side
    13,406.31x = 143,218,815.68
  5. Step 5: Solve for x
    x = 143,218,815.68/13,406.31
  6. Step 6: Final answer
    x = 10,682.94

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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.