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Finding the Fourth Proportional to 16,172.34, 24,240.60 and 6,809.64

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Solution

The fourth proportional to 16,172.34, 24,240.60 and 6,809.64 is: 10,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.34 : 24,240.60 = 6,809.64 : x
  2. Step 2: Convert to fraction form
    16,172.34/24,240.60 = 6,809.64/x
  3. Step 3: Cross multiply
    16,172.34x = 24,240.60 × 6,809.64
  4. Step 4: Simplify right side
    16,172.34x = 165,069,759.38
  5. Step 5: Solve for x
    x = 165,069,759.38/16,172.34
  6. Step 6: Final answer
    x = 10,206.92

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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.