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Finding the Fourth Proportional to 18,382.48, 27,529.30 and 10,461

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Solution

The fourth proportional to 18,382.48, 27,529.30 and 10,461 is: 15,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.48 : 27,529.30 = 10,461 : x
  2. Step 2: Convert to fraction form
    18,382.48/27,529.30 = 10,461/x
  3. Step 3: Cross multiply
    18,382.48x = 27,529.30 × 10,461
  4. Step 4: Simplify right side
    18,382.48x = 287,984,007.30
  5. Step 5: Solve for x
    x = 287,984,007.30/18,382.48
  6. Step 6: Final answer
    x = 15,666.22

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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.