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Finding the Fourth Proportional to 20,045.44, 30,052.16 and 9,510.17

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Solution

The fourth proportional to 20,045.44, 30,052.16 and 9,510.17 is: 14,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.44 : 30,052.16 = 9,510.17 : x
  2. Step 2: Convert to fraction form
    20,045.44/30,052.16 = 9,510.17/x
  3. Step 3: Cross multiply
    20,045.44x = 30,052.16 × 9,510.17
  4. Step 4: Simplify right side
    20,045.44x = 285,801,102.92
  5. Step 5: Solve for x
    x = 285,801,102.92/20,045.44
  6. Step 6: Final answer
    x = 14,257.67

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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.