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Finding the Fourth Proportional to 23,382, 32,267.16 and 12,771.68

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Solution

The fourth proportional to 23,382, 32,267.16 and 12,771.68 is: 17,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382 : 32,267.16 = 12,771.68 : x
  2. Step 2: Convert to fraction form
    23,382/32,267.16 = 12,771.68/x
  3. Step 3: Cross multiply
    23,382x = 32,267.16 × 12,771.68
  4. Step 4: Simplify right side
    23,382x = 412,105,680.69
  5. Step 5: Solve for x
    x = 412,105,680.69/23,382
  6. Step 6: Final answer
    x = 17,624.91

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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.