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Finding the Fourth Proportional to 23,571.75, 32,529.93 and 12,961.16

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Solution

The fourth proportional to 23,571.75, 32,529.93 and 12,961.16 is: 17,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.75 : 32,529.93 = 12,961.16 : x
  2. Step 2: Convert to fraction form
    23,571.75/32,529.93 = 12,961.16/x
  3. Step 3: Cross multiply
    23,571.75x = 32,529.93 × 12,961.16
  4. Step 4: Simplify right side
    23,571.75x = 421,625,464.87
  5. Step 5: Solve for x
    x = 421,625,464.87/23,571.75
  6. Step 6: Final answer
    x = 17,886.90

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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.