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Finding the Fourth Proportional to 27,200.16, 40,765.68 and 14,873.76

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Solution

The fourth proportional to 27,200.16, 40,765.68 and 14,873.76 is: 22,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.16 : 40,765.68 = 14,873.76 : x
  2. Step 2: Convert to fraction form
    27,200.16/40,765.68 = 14,873.76/x
  3. Step 3: Cross multiply
    27,200.16x = 40,765.68 × 14,873.76
  4. Step 4: Simplify right side
    27,200.16x = 606,338,940.56
  5. Step 5: Solve for x
    x = 606,338,940.56/27,200.16
  6. Step 6: Final answer
    x = 22,291.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.