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Finding the Fourth Proportional to 20,218.60, 30,313.54 and 7,728.10

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Solution

The fourth proportional to 20,218.60, 30,313.54 and 7,728.10 is: 11,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.60 : 30,313.54 = 7,728.10 : x
  2. Step 2: Convert to fraction form
    20,218.60/30,313.54 = 7,728.10/x
  3. Step 3: Cross multiply
    20,218.60x = 30,313.54 × 7,728.10
  4. Step 4: Simplify right side
    20,218.60x = 234,266,068.47
  5. Step 5: Solve for x
    x = 234,266,068.47/20,218.60
  6. Step 6: Final answer
    x = 11,586.66

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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.