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Finding the Fourth Proportional to 16,205.64, 22,367.94 and 10,554.47

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Solution

The fourth proportional to 16,205.64, 22,367.94 and 10,554.47 is: 14,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.64 : 22,367.94 = 10,554.47 : x
  2. Step 2: Convert to fraction form
    16,205.64/22,367.94 = 10,554.47/x
  3. Step 3: Cross multiply
    16,205.64x = 22,367.94 × 10,554.47
  4. Step 4: Simplify right side
    16,205.64x = 236,081,639.85
  5. Step 5: Solve for x
    x = 236,081,639.85/16,205.64
  6. Step 6: Final answer
    x = 14,567.87

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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.