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Finding the Fourth Proportional to 23,679.68, 32,689.78 and 14,730.09

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Solution

The fourth proportional to 23,679.68, 32,689.78 and 14,730.09 is: 20,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.68 : 32,689.78 = 14,730.09 : x
  2. Step 2: Convert to fraction form
    23,679.68/32,689.78 = 14,730.09/x
  3. Step 3: Cross multiply
    23,679.68x = 32,689.78 × 14,730.09
  4. Step 4: Simplify right side
    23,679.68x = 481,523,242.07
  5. Step 5: Solve for x
    x = 481,523,242.07/23,679.68
  6. Step 6: Final answer
    x = 20,334.88

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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.