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Finding the Fourth Proportional to 27,970.56, 38,600.64 and 16,032.96

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Solution

The fourth proportional to 27,970.56, 38,600.64 and 16,032.96 is: 22,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.56 : 38,600.64 = 16,032.96 : x
  2. Step 2: Convert to fraction form
    27,970.56/38,600.64 = 16,032.96/x
  3. Step 3: Cross multiply
    27,970.56x = 38,600.64 × 16,032.96
  4. Step 4: Simplify right side
    27,970.56x = 618,882,517.09
  5. Step 5: Solve for x
    x = 618,882,517.09/27,970.56
  6. Step 6: Final answer
    x = 22,126.21

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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.