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Finding the Fourth Proportional to 16,333.65, 22,539.80 and 9,260.33

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Solution

The fourth proportional to 16,333.65, 22,539.80 and 9,260.33 is: 12,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.65 : 22,539.80 = 9,260.33 : x
  2. Step 2: Convert to fraction form
    16,333.65/22,539.80 = 9,260.33/x
  3. Step 3: Cross multiply
    16,333.65x = 22,539.80 × 9,260.33
  4. Step 4: Simplify right side
    16,333.65x = 208,725,896.59
  5. Step 5: Solve for x
    x = 208,725,896.59/16,333.65
  6. Step 6: Final answer
    x = 12,778.89

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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.