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Finding the Fourth Proportional to 17,697.76, 24,423.80 and 10,144.96

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Solution

The fourth proportional to 17,697.76, 24,423.80 and 10,144.96 is: 14,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.76 : 24,423.80 = 10,144.96 : x
  2. Step 2: Convert to fraction form
    17,697.76/24,423.80 = 10,144.96/x
  3. Step 3: Cross multiply
    17,697.76x = 24,423.80 × 10,144.96
  4. Step 4: Simplify right side
    17,697.76x = 247,778,474.05
  5. Step 5: Solve for x
    x = 247,778,474.05/17,697.76
  6. Step 6: Final answer
    x = 14,000.56

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1.5x scale

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.