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Finding the Fourth Proportional to 21,837.60, 30,127.14 and 13,768.60

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Solution

The fourth proportional to 21,837.60, 30,127.14 and 13,768.60 is: 18,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.60 : 30,127.14 = 13,768.60 : x
  2. Step 2: Convert to fraction form
    21,837.60/30,127.14 = 13,768.60/x
  3. Step 3: Cross multiply
    21,837.60x = 30,127.14 × 13,768.60
  4. Step 4: Simplify right side
    21,837.60x = 414,808,520.97
  5. Step 5: Solve for x
    x = 414,808,520.97/21,837.60
  6. Step 6: Final answer
    x = 18,995.15

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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.