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Finding the Fourth Proportional to 20,752.76, 31,096.74 and 11,384.84

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Solution

The fourth proportional to 20,752.76, 31,096.74 and 11,384.84 is: 17,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.76 : 31,096.74 = 11,384.84 : x
  2. Step 2: Convert to fraction form
    20,752.76/31,096.74 = 11,384.84/x
  3. Step 3: Cross multiply
    20,752.76x = 31,096.74 × 11,384.84
  4. Step 4: Simplify right side
    20,752.76x = 354,031,409.42
  5. Step 5: Solve for x
    x = 354,031,409.42/20,752.76
  6. Step 6: Final answer
    x = 17,059.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.