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Finding the Fourth Proportional to 16,842.74, 25,270.65 and 6,979.50

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Solution

The fourth proportional to 16,842.74, 25,270.65 and 6,979.50 is: 10,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.74 : 25,270.65 = 6,979.50 : x
  2. Step 2: Convert to fraction form
    16,842.74/25,270.65 = 6,979.50/x
  3. Step 3: Cross multiply
    16,842.74x = 25,270.65 × 6,979.50
  4. Step 4: Simplify right side
    16,842.74x = 176,376,501.68
  5. Step 5: Solve for x
    x = 176,376,501.68/16,842.74
  6. Step 6: Final answer
    x = 10,471.96

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Why These Related Problems?

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