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Finding the Fourth Proportional to 19,767.30, 29,650.98 and 4,976.22

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Solution

The fourth proportional to 19,767.30, 29,650.98 and 4,976.22 is: 7,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.30 : 29,650.98 = 4,976.22 : x
  2. Step 2: Convert to fraction form
    19,767.30/29,650.98 = 4,976.22/x
  3. Step 3: Cross multiply
    19,767.30x = 29,650.98 × 4,976.22
  4. Step 4: Simplify right side
    19,767.30x = 147,549,799.70
  5. Step 5: Solve for x
    x = 147,549,799.70/19,767.30
  6. Step 6: Final answer
    x = 7,464.34

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