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Finding the Fourth Proportional to 16,005.72, 22,087.88 and 9,295.28

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Solution

The fourth proportional to 16,005.72, 22,087.88 and 9,295.28 is: 12,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.72 : 22,087.88 = 9,295.28 : x
  2. Step 2: Convert to fraction form
    16,005.72/22,087.88 = 9,295.28/x
  3. Step 3: Cross multiply
    16,005.72x = 22,087.88 × 9,295.28
  4. Step 4: Simplify right side
    16,005.72x = 205,313,029.21
  5. Step 5: Solve for x
    x = 205,313,029.21/16,005.72
  6. Step 6: Final answer
    x = 12,827.48

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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.