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Finding the Fourth Proportional to 25,704, 38,541.24 and 10,113.12

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Solution

The fourth proportional to 25,704, 38,541.24 and 10,113.12 is: 15,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704 : 38,541.24 = 10,113.12 : x
  2. Step 2: Convert to fraction form
    25,704/38,541.24 = 10,113.12/x
  3. Step 3: Cross multiply
    25,704x = 38,541.24 × 10,113.12
  4. Step 4: Simplify right side
    25,704x = 389,772,185.07
  5. Step 5: Solve for x
    x = 389,772,185.07/25,704
  6. Step 6: Final answer
    x = 15,163.87

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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.