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Finding the Fourth Proportional to 17,756.50, 24,506.40 and 10,304.50

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Solution

The fourth proportional to 17,756.50, 24,506.40 and 10,304.50 is: 14,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.50 : 24,506.40 = 10,304.50 : x
  2. Step 2: Convert to fraction form
    17,756.50/24,506.40 = 10,304.50/x
  3. Step 3: Cross multiply
    17,756.50x = 24,506.40 × 10,304.50
  4. Step 4: Simplify right side
    17,756.50x = 252,526,198.80
  5. Step 5: Solve for x
    x = 252,526,198.80/17,756.50
  6. Step 6: Final answer
    x = 14,221.62

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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.