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Finding the Fourth Proportional to 17,914.53, 24,717.24 and 10,840.80

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Solution

The fourth proportional to 17,914.53, 24,717.24 and 10,840.80 is: 14,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.53 : 24,717.24 = 10,840.80 : x
  2. Step 2: Convert to fraction form
    17,914.53/24,717.24 = 10,840.80/x
  3. Step 3: Cross multiply
    17,914.53x = 24,717.24 × 10,840.80
  4. Step 4: Simplify right side
    17,914.53x = 267,954,655.39
  5. Step 5: Solve for x
    x = 267,954,655.39/17,914.53
  6. Step 6: Final answer
    x = 14,957.39

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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.