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Finding the Fourth Proportional to 20,285.06, 30,430.02 and 7,802.18

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Solution

The fourth proportional to 20,285.06, 30,430.02 and 7,802.18 is: 11,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.06 : 30,430.02 = 7,802.18 : x
  2. Step 2: Convert to fraction form
    20,285.06/30,430.02 = 7,802.18/x
  3. Step 3: Cross multiply
    20,285.06x = 30,430.02 × 7,802.18
  4. Step 4: Simplify right side
    20,285.06x = 237,420,493.44
  5. Step 5: Solve for x
    x = 237,420,493.44/20,285.06
  6. Step 6: Final answer
    x = 11,704.20

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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.