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Finding the Fourth Proportional to 16,561.40, 22,850.72 and 10,509.44

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Solution

The fourth proportional to 16,561.40, 22,850.72 and 10,509.44 is: 14,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.40 : 22,850.72 = 10,509.44 : x
  2. Step 2: Convert to fraction form
    16,561.40/22,850.72 = 10,509.44/x
  3. Step 3: Cross multiply
    16,561.40x = 22,850.72 × 10,509.44
  4. Step 4: Simplify right side
    16,561.40x = 240,148,104.00
  5. Step 5: Solve for x
    x = 240,148,104.00/16,561.40
  6. Step 6: Final answer
    x = 14,500.48

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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.