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Finding the Fourth Proportional to 23,611.65, 32,584.15 and 12,856.65

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Solution

The fourth proportional to 23,611.65, 32,584.15 and 12,856.65 is: 17,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.65 : 32,584.15 = 12,856.65 : x
  2. Step 2: Convert to fraction form
    23,611.65/32,584.15 = 12,856.65/x
  3. Step 3: Cross multiply
    23,611.65x = 32,584.15 × 12,856.65
  4. Step 4: Simplify right side
    23,611.65x = 418,923,012.10
  5. Step 5: Solve for x
    x = 418,923,012.10/23,611.65
  6. Step 6: Final answer
    x = 17,742.22

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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.