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Finding the Fourth Proportional to 20,529.40, 30,802.20 and 8,047.30

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Solution

The fourth proportional to 20,529.40, 30,802.20 and 8,047.30 is: 12,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.40 : 30,802.20 = 8,047.30 : x
  2. Step 2: Convert to fraction form
    20,529.40/30,802.20 = 8,047.30/x
  3. Step 3: Cross multiply
    20,529.40x = 30,802.20 × 8,047.30
  4. Step 4: Simplify right side
    20,529.40x = 247,874,544.06
  5. Step 5: Solve for x
    x = 247,874,544.06/20,529.40
  6. Step 6: Final answer
    x = 12,074.13

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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.