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Finding the Fourth Proportional to 10,017.68, 13,824.19 and 5,541.62

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Solution

The fourth proportional to 10,017.68, 13,824.19 and 5,541.62 is: 7,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.68 : 13,824.19 = 5,541.62 : x
  2. Step 2: Convert to fraction form
    10,017.68/13,824.19 = 5,541.62/x
  3. Step 3: Cross multiply
    10,017.68x = 13,824.19 × 5,541.62
  4. Step 4: Simplify right side
    10,017.68x = 76,608,361.18
  5. Step 5: Solve for x
    x = 76,608,361.18/10,017.68
  6. Step 6: Final answer
    x = 7,647.32

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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.