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Finding the Fourth Proportional to 16,200.65, 24,285.18 and 7,880.33

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Solution

The fourth proportional to 16,200.65, 24,285.18 and 7,880.33 is: 11,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.65 : 24,285.18 = 7,880.33 : x
  2. Step 2: Convert to fraction form
    16,200.65/24,285.18 = 7,880.33/x
  3. Step 3: Cross multiply
    16,200.65x = 24,285.18 × 7,880.33
  4. Step 4: Simplify right side
    16,200.65x = 191,375,322.77
  5. Step 5: Solve for x
    x = 191,375,322.77/16,200.65
  6. Step 6: Final answer
    x = 11,812.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.