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Finding the Fourth Proportional to 18,384.09, 25,365.62 and 10,829.84

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Solution

The fourth proportional to 18,384.09, 25,365.62 and 10,829.84 is: 14,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.09 : 25,365.62 = 10,829.84 : x
  2. Step 2: Convert to fraction form
    18,384.09/25,365.62 = 10,829.84/x
  3. Step 3: Cross multiply
    18,384.09x = 25,365.62 × 10,829.84
  4. Step 4: Simplify right side
    18,384.09x = 274,705,425.12
  5. Step 5: Solve for x
    x = 274,705,425.12/18,384.09
  6. Step 6: Final answer
    x = 14,942.56

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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.