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Finding the Fourth Proportional to 19,767.50, 29,649.04 and 4,976.42

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Solution

The fourth proportional to 19,767.50, 29,649.04 and 4,976.42 is: 7,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.50 : 29,649.04 = 4,976.42 : x
  2. Step 2: Convert to fraction form
    19,767.50/29,649.04 = 4,976.42/x
  3. Step 3: Cross multiply
    19,767.50x = 29,649.04 × 4,976.42
  4. Step 4: Simplify right side
    19,767.50x = 147,546,075.64
  5. Step 5: Solve for x
    x = 147,546,075.64/19,767.50
  6. Step 6: Final answer
    x = 7,464.07

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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.