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Finding the Fourth Proportional to 29,786.65, 41,106.06 and 16,358.47

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Solution

The fourth proportional to 29,786.65, 41,106.06 and 16,358.47 is: 22,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.65 : 41,106.06 = 16,358.47 : x
  2. Step 2: Convert to fraction form
    29,786.65/41,106.06 = 16,358.47/x
  3. Step 3: Cross multiply
    29,786.65x = 41,106.06 × 16,358.47
  4. Step 4: Simplify right side
    29,786.65x = 672,432,249.33
  5. Step 5: Solve for x
    x = 672,432,249.33/29,786.65
  6. Step 6: Final answer
    x = 22,574.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.