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Finding the Fourth Proportional to 17,711.70, 24,441.39 and 10,152.77

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Solution

The fourth proportional to 17,711.70, 24,441.39 and 10,152.77 is: 14,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.70 : 24,441.39 = 10,152.77 : x
  2. Step 2: Convert to fraction form
    17,711.70/24,441.39 = 10,152.77/x
  3. Step 3: Cross multiply
    17,711.70x = 24,441.39 × 10,152.77
  4. Step 4: Simplify right side
    17,711.70x = 248,147,688.94
  5. Step 5: Solve for x
    x = 248,147,688.94/17,711.70
  6. Step 6: Final answer
    x = 14,010.38

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Half scale
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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.