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Finding the Fourth Proportional to 16,339.40, 22,548.37 and 9,265.82

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Solution

The fourth proportional to 16,339.40, 22,548.37 and 9,265.82 is: 12,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.40 : 22,548.37 = 9,265.82 : x
  2. Step 2: Convert to fraction form
    16,339.40/22,548.37 = 9,265.82/x
  3. Step 3: Cross multiply
    16,339.40x = 22,548.37 × 9,265.82
  4. Step 4: Simplify right side
    16,339.40x = 208,929,265.32
  5. Step 5: Solve for x
    x = 208,929,265.32/16,339.40
  6. Step 6: Final answer
    x = 12,786.84

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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.