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Finding the Fourth Proportional to 23,521.65, 32,460.25 and 12,912.25

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Solution

The fourth proportional to 23,521.65, 32,460.25 and 12,912.25 is: 17,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.65 : 32,460.25 = 12,912.25 : x
  2. Step 2: Convert to fraction form
    23,521.65/32,460.25 = 12,912.25/x
  3. Step 3: Cross multiply
    23,521.65x = 32,460.25 × 12,912.25
  4. Step 4: Simplify right side
    23,521.65x = 419,134,863.06
  5. Step 5: Solve for x
    x = 419,134,863.06/23,521.65
  6. Step 6: Final answer
    x = 17,819.11

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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.