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Finding the Fourth Proportional to 17,757, 24,505.44 and 10,205.76

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Solution

The fourth proportional to 17,757, 24,505.44 and 10,205.76 is: 14,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757 : 24,505.44 = 10,205.76 : x
  2. Step 2: Convert to fraction form
    17,757/24,505.44 = 10,205.76/x
  3. Step 3: Cross multiply
    17,757x = 24,505.44 × 10,205.76
  4. Step 4: Simplify right side
    17,757x = 250,096,639.33
  5. Step 5: Solve for x
    x = 250,096,639.33/17,757
  6. Step 6: Final answer
    x = 14,084.40

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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.