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Finding the Fourth Proportional to 17,738.11, 24,483.43 and 11,364.22

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Solution

The fourth proportional to 17,738.11, 24,483.43 and 11,364.22 is: 15,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.11 : 24,483.43 = 11,364.22 : x
  2. Step 2: Convert to fraction form
    17,738.11/24,483.43 = 11,364.22/x
  3. Step 3: Cross multiply
    17,738.11x = 24,483.43 × 11,364.22
  4. Step 4: Simplify right side
    17,738.11x = 278,235,084.87
  5. Step 5: Solve for x
    x = 278,235,084.87/17,738.11
  6. Step 6: Final answer
    x = 15,685.72

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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.