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Finding the Fourth Proportional to 23,571.92, 32,530.12 and 12,962.48

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Solution

The fourth proportional to 23,571.92, 32,530.12 and 12,962.48 is: 17,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.92 : 32,530.12 = 12,962.48 : x
  2. Step 2: Convert to fraction form
    23,571.92/32,530.12 = 12,962.48/x
  3. Step 3: Cross multiply
    23,571.92x = 32,530.12 × 12,962.48
  4. Step 4: Simplify right side
    23,571.92x = 421,671,029.90
  5. Step 5: Solve for x
    x = 421,671,029.90/23,571.92
  6. Step 6: Final answer
    x = 17,888.70

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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.