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Finding the Fourth Proportional to 20,576.04, 30,865.51 and 10,185

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Solution

The fourth proportional to 20,576.04, 30,865.51 and 10,185 is: 15,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.04 : 30,865.51 = 10,185 : x
  2. Step 2: Convert to fraction form
    20,576.04/30,865.51 = 10,185/x
  3. Step 3: Cross multiply
    20,576.04x = 30,865.51 × 10,185
  4. Step 4: Simplify right side
    20,576.04x = 314,365,219.35
  5. Step 5: Solve for x
    x = 314,365,219.35/20,576.04
  6. Step 6: Final answer
    x = 15,278.22

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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.