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Finding the Fourth Proportional to 23,572.30, 32,528.94 and 12,961.84

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Solution

The fourth proportional to 23,572.30, 32,528.94 and 12,961.84 is: 17,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.30 : 32,528.94 = 12,961.84 : x
  2. Step 2: Convert to fraction form
    23,572.30/32,528.94 = 12,961.84/x
  3. Step 3: Cross multiply
    23,572.30x = 32,528.94 × 12,961.84
  4. Step 4: Simplify right side
    23,572.30x = 421,634,915.65
  5. Step 5: Solve for x
    x = 421,634,915.65/23,572.30
  6. Step 6: Final answer
    x = 17,886.88

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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.