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Finding the Fourth Proportional to 20,521.74, 30,768.02 and 10,529.50

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Solution

The fourth proportional to 20,521.74, 30,768.02 and 10,529.50 is: 15,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.74 : 30,768.02 = 10,529.50 : x
  2. Step 2: Convert to fraction form
    20,521.74/30,768.02 = 10,529.50/x
  3. Step 3: Cross multiply
    20,521.74x = 30,768.02 × 10,529.50
  4. Step 4: Simplify right side
    20,521.74x = 323,971,866.59
  5. Step 5: Solve for x
    x = 323,971,866.59/20,521.74
  6. Step 6: Final answer
    x = 15,786.76

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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.