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Finding the Fourth Proportional to 19,730.64, 29,595.66 and 5,879.64

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Solution

The fourth proportional to 19,730.64, 29,595.66 and 5,879.64 is: 8,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.64 : 29,595.66 = 5,879.64 : x
  2. Step 2: Convert to fraction form
    19,730.64/29,595.66 = 5,879.64/x
  3. Step 3: Cross multiply
    19,730.64x = 29,595.66 × 5,879.64
  4. Step 4: Simplify right side
    19,730.64x = 174,011,826.36
  5. Step 5: Solve for x
    x = 174,011,826.36/19,730.64
  6. Step 6: Final answer
    x = 8,819.37

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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.