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Finding the Fourth Proportional to 16,409.70, 22,644.86 and 9,239.98

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Solution

The fourth proportional to 16,409.70, 22,644.86 and 9,239.98 is: 12,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.70 : 22,644.86 = 9,239.98 : x
  2. Step 2: Convert to fraction form
    16,409.70/22,644.86 = 9,239.98/x
  3. Step 3: Cross multiply
    16,409.70x = 22,644.86 × 9,239.98
  4. Step 4: Simplify right side
    16,409.70x = 209,238,053.50
  5. Step 5: Solve for x
    x = 209,238,053.50/16,409.70
  6. Step 6: Final answer
    x = 12,750.88

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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.