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Finding the Fourth Proportional to 27,552.75, 38,022.81 and 14,977.50

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Solution

The fourth proportional to 27,552.75, 38,022.81 and 14,977.50 is: 20,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552.75 : 38,022.81 = 14,977.50 : x
  2. Step 2: Convert to fraction form
    27,552.75/38,022.81 = 14,977.50/x
  3. Step 3: Cross multiply
    27,552.75x = 38,022.81 × 14,977.50
  4. Step 4: Simplify right side
    27,552.75x = 569,486,636.78
  5. Step 5: Solve for x
    x = 569,486,636.78/27,552.75
  6. Step 6: Final answer
    x = 20,668.96

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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.