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Finding the Fourth Proportional to 19,783.14, 27,300.60 and 10,708.44

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Solution

The fourth proportional to 19,783.14, 27,300.60 and 10,708.44 is: 14,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.14 : 27,300.60 = 10,708.44 : x
  2. Step 2: Convert to fraction form
    19,783.14/27,300.60 = 10,708.44/x
  3. Step 3: Cross multiply
    19,783.14x = 27,300.60 × 10,708.44
  4. Step 4: Simplify right side
    19,783.14x = 292,346,837.06
  5. Step 5: Solve for x
    x = 292,346,837.06/19,783.14
  6. Step 6: Final answer
    x = 14,777.58

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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.