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Finding the Fourth Proportional to 16,208.71, 22,369.80 and 9,404.23

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Solution

The fourth proportional to 16,208.71, 22,369.80 and 9,404.23 is: 12,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.71 : 22,369.80 = 9,404.23 : x
  2. Step 2: Convert to fraction form
    16,208.71/22,369.80 = 9,404.23/x
  3. Step 3: Cross multiply
    16,208.71x = 22,369.80 × 9,404.23
  4. Step 4: Simplify right side
    16,208.71x = 210,370,623.28
  5. Step 5: Solve for x
    x = 210,370,623.28/16,208.71
  6. Step 6: Final answer
    x = 12,978.86

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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.