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Finding the Fourth Proportional to 27,709.31, 38,189.40 and 20,978.81

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Solution

The fourth proportional to 27,709.31, 38,189.40 and 20,978.81 is: 28,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.31 : 38,189.40 = 20,978.81 : x
  2. Step 2: Convert to fraction form
    27,709.31/38,189.40 = 20,978.81/x
  3. Step 3: Cross multiply
    27,709.31x = 38,189.40 × 20,978.81
  4. Step 4: Simplify right side
    27,709.31x = 801,168,166.61
  5. Step 5: Solve for x
    x = 801,168,166.61/27,709.31
  6. Step 6: Final answer
    x = 28,913.32

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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.