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Finding the Fourth Proportional to 17,377.65, 23,979.69 and 9,824.67

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Solution

The fourth proportional to 17,377.65, 23,979.69 and 9,824.67 is: 13,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377.65 : 23,979.69 = 9,824.67 : x
  2. Step 2: Convert to fraction form
    17,377.65/23,979.69 = 9,824.67/x
  3. Step 3: Cross multiply
    17,377.65x = 23,979.69 × 9,824.67
  4. Step 4: Simplify right side
    17,377.65x = 235,592,540.95
  5. Step 5: Solve for x
    x = 235,592,540.95/17,377.65
  6. Step 6: Final answer
    x = 13,557.22

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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.