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Finding the Fourth Proportional to 27,842.96, 38,423.88 and 16,940.96

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Solution

The fourth proportional to 27,842.96, 38,423.88 and 16,940.96 is: 23,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.96 : 38,423.88 = 16,940.96 : x
  2. Step 2: Convert to fraction form
    27,842.96/38,423.88 = 16,940.96/x
  3. Step 3: Cross multiply
    27,842.96x = 38,423.88 × 16,940.96
  4. Step 4: Simplify right side
    27,842.96x = 650,937,414.12
  5. Step 5: Solve for x
    x = 650,937,414.12/27,842.96
  6. Step 6: Final answer
    x = 23,378.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.