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Finding the Fourth Proportional to 27,980.56, 38,613.84 and 15,234.40

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Solution

The fourth proportional to 27,980.56, 38,613.84 and 15,234.40 is: 21,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.56 : 38,613.84 = 15,234.40 : x
  2. Step 2: Convert to fraction form
    27,980.56/38,613.84 = 15,234.40/x
  3. Step 3: Cross multiply
    27,980.56x = 38,613.84 × 15,234.40
  4. Step 4: Simplify right side
    27,980.56x = 588,258,684.10
  5. Step 5: Solve for x
    x = 588,258,684.10/27,980.56
  6. Step 6: Final answer
    x = 21,023.84

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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.