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Finding the Fourth Proportional to 24,769, 34,181.22 and 13,591.72

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Solution

The fourth proportional to 24,769, 34,181.22 and 13,591.72 is: 18,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769 : 34,181.22 = 13,591.72 : x
  2. Step 2: Convert to fraction form
    24,769/34,181.22 = 13,591.72/x
  3. Step 3: Cross multiply
    24,769x = 34,181.22 × 13,591.72
  4. Step 4: Simplify right side
    24,769x = 464,581,571.50
  5. Step 5: Solve for x
    x = 464,581,571.50/24,769
  6. Step 6: Final answer
    x = 18,756.57

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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.