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Finding the Fourth Proportional to 16,202.72, 24,300.40 and 10,578.60

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Solution

The fourth proportional to 16,202.72, 24,300.40 and 10,578.60 is: 15,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.72 : 24,300.40 = 10,578.60 : x
  2. Step 2: Convert to fraction form
    16,202.72/24,300.40 = 10,578.60/x
  3. Step 3: Cross multiply
    16,202.72x = 24,300.40 × 10,578.60
  4. Step 4: Simplify right side
    16,202.72x = 257,064,211.44
  5. Step 5: Solve for x
    x = 257,064,211.44/16,202.72
  6. Step 6: Final answer
    x = 15,865.50

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Why These Related Problems?

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