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Finding the Fourth Proportional to 20,285.88, 30,430.74 and 7,971

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Solution

The fourth proportional to 20,285.88, 30,430.74 and 7,971 is: 11,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.88 : 30,430.74 = 7,971 : x
  2. Step 2: Convert to fraction form
    20,285.88/30,430.74 = 7,971/x
  3. Step 3: Cross multiply
    20,285.88x = 30,430.74 × 7,971
  4. Step 4: Simplify right side
    20,285.88x = 242,563,428.54
  5. Step 5: Solve for x
    x = 242,563,428.54/20,285.88
  6. Step 6: Final answer
    x = 11,957.25

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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.