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Finding the Fourth Proportional to 20,971, 28,940.18 and 11,539.77

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Solution

The fourth proportional to 20,971, 28,940.18 and 11,539.77 is: 15,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971 : 28,940.18 = 11,539.77 : x
  2. Step 2: Convert to fraction form
    20,971/28,940.18 = 11,539.77/x
  3. Step 3: Cross multiply
    20,971x = 28,940.18 × 11,539.77
  4. Step 4: Simplify right side
    20,971x = 333,963,020.96
  5. Step 5: Solve for x
    x = 333,963,020.96/20,971
  6. Step 6: Final answer
    x = 15,924.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.