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Finding the Fourth Proportional to 27,480.96, 37,923.84 and 16,147.20

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Solution

The fourth proportional to 27,480.96, 37,923.84 and 16,147.20 is: 22,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480.96 : 37,923.84 = 16,147.20 : x
  2. Step 2: Convert to fraction form
    27,480.96/37,923.84 = 16,147.20/x
  3. Step 3: Cross multiply
    27,480.96x = 37,923.84 × 16,147.20
  4. Step 4: Simplify right side
    27,480.96x = 612,363,829.25
  5. Step 5: Solve for x
    x = 612,363,829.25/27,480.96
  6. Step 6: Final answer
    x = 22,283.20

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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.