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Finding the Fourth Proportional to 19,731.24, 29,596.62 and 5,879.16

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Solution

The fourth proportional to 19,731.24, 29,596.62 and 5,879.16 is: 8,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.24 : 29,596.62 = 5,879.16 : x
  2. Step 2: Convert to fraction form
    19,731.24/29,596.62 = 5,879.16/x
  3. Step 3: Cross multiply
    19,731.24x = 29,596.62 × 5,879.16
  4. Step 4: Simplify right side
    19,731.24x = 174,003,264.44
  5. Step 5: Solve for x
    x = 174,003,264.44/19,731.24
  6. Step 6: Final answer
    x = 8,818.67

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1.5x scale

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.