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Finding the Fourth Proportional to 16,239.43, 22,409.35 and 9,164.89

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Solution

The fourth proportional to 16,239.43, 22,409.35 and 9,164.89 is: 12,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.43 : 22,409.35 = 9,164.89 : x
  2. Step 2: Convert to fraction form
    16,239.43/22,409.35 = 9,164.89/x
  3. Step 3: Cross multiply
    16,239.43x = 22,409.35 × 9,164.89
  4. Step 4: Simplify right side
    16,239.43x = 205,379,227.72
  5. Step 5: Solve for x
    x = 205,379,227.72/16,239.43
  6. Step 6: Final answer
    x = 12,646.95

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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.