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Finding the Fourth Proportional to 14,175.57, 19,563.50 and 7,803.42

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Solution

The fourth proportional to 14,175.57, 19,563.50 and 7,803.42 is: 10,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.57 : 19,563.50 = 7,803.42 : x
  2. Step 2: Convert to fraction form
    14,175.57/19,563.50 = 7,803.42/x
  3. Step 3: Cross multiply
    14,175.57x = 19,563.50 × 7,803.42
  4. Step 4: Simplify right side
    14,175.57x = 152,662,168.15
  5. Step 5: Solve for x
    x = 152,662,168.15/14,175.57
  6. Step 6: Final answer
    x = 10,769.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.