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Finding the Fourth Proportional to 16,509.94, 22,757.08 and 13,520.50

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Solution

The fourth proportional to 16,509.94, 22,757.08 and 13,520.50 is: 18,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.94 : 22,757.08 = 13,520.50 : x
  2. Step 2: Convert to fraction form
    16,509.94/22,757.08 = 13,520.50/x
  3. Step 3: Cross multiply
    16,509.94x = 22,757.08 × 13,520.50
  4. Step 4: Simplify right side
    16,509.94x = 307,687,100.14
  5. Step 5: Solve for x
    x = 307,687,100.14/16,509.94
  6. Step 6: Final answer
    x = 18,636.48

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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.