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Finding the Fourth Proportional to 23,467, 32,384.48 and 12,856.68

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Solution

The fourth proportional to 23,467, 32,384.48 and 12,856.68 is: 17,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467 : 32,384.48 = 12,856.68 : x
  2. Step 2: Convert to fraction form
    23,467/32,384.48 = 12,856.68/x
  3. Step 3: Cross multiply
    23,467x = 32,384.48 × 12,856.68
  4. Step 4: Simplify right side
    23,467x = 416,356,896.33
  5. Step 5: Solve for x
    x = 416,356,896.33/23,467
  6. Step 6: Final answer
    x = 17,742.23

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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.