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Finding the Fourth Proportional to 19,807.80, 29,713.65 and 5,767.97

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Solution

The fourth proportional to 19,807.80, 29,713.65 and 5,767.97 is: 8,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.80 : 29,713.65 = 5,767.97 : x
  2. Step 2: Convert to fraction form
    19,807.80/29,713.65 = 5,767.97/x
  3. Step 3: Cross multiply
    19,807.80x = 29,713.65 × 5,767.97
  4. Step 4: Simplify right side
    19,807.80x = 171,387,441.79
  5. Step 5: Solve for x
    x = 171,387,441.79/19,807.80
  6. Step 6: Final answer
    x = 8,652.52

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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.