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Finding the Fourth Proportional to 21,832.69, 30,127.80 and 12,883

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Solution

The fourth proportional to 21,832.69, 30,127.80 and 12,883 is: 17,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.69 : 30,127.80 = 12,883 : x
  2. Step 2: Convert to fraction form
    21,832.69/30,127.80 = 12,883/x
  3. Step 3: Cross multiply
    21,832.69x = 30,127.80 × 12,883
  4. Step 4: Simplify right side
    21,832.69x = 388,136,447.40
  5. Step 5: Solve for x
    x = 388,136,447.40/21,832.69
  6. Step 6: Final answer
    x = 17,777.77

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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.