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Finding the Fourth Proportional to 19,807.08, 29,716.04 and 7,964.44

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Solution

The fourth proportional to 19,807.08, 29,716.04 and 7,964.44 is: 11,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.08 : 29,716.04 = 7,964.44 : x
  2. Step 2: Convert to fraction form
    19,807.08/29,716.04 = 7,964.44/x
  3. Step 3: Cross multiply
    19,807.08x = 29,716.04 × 7,964.44
  4. Step 4: Simplify right side
    19,807.08x = 236,671,617.62
  5. Step 5: Solve for x
    x = 236,671,617.62/19,807.08
  6. Step 6: Final answer
    x = 11,948.84

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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.