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Finding the Fourth Proportional to 17,180.74, 23,710 and 16,393.42

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Solution

The fourth proportional to 17,180.74, 23,710 and 16,393.42 is: 22,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180.74 : 23,710 = 16,393.42 : x
  2. Step 2: Convert to fraction form
    17,180.74/23,710 = 16,393.42/x
  3. Step 3: Cross multiply
    17,180.74x = 23,710 × 16,393.42
  4. Step 4: Simplify right side
    17,180.74x = 388,687,869.65
  5. Step 5: Solve for x
    x = 388,687,869.65/17,180.74
  6. Step 6: Final answer
    x = 22,623.47

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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.