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Finding the Fourth Proportional to 17,365.50, 23,964.40 and 9,407.78

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Solution

The fourth proportional to 17,365.50, 23,964.40 and 9,407.78 is: 12,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365.50 : 23,964.40 = 9,407.78 : x
  2. Step 2: Convert to fraction form
    17,365.50/23,964.40 = 9,407.78/x
  3. Step 3: Cross multiply
    17,365.50x = 23,964.40 × 9,407.78
  4. Step 4: Simplify right side
    17,365.50x = 225,451,803.03
  5. Step 5: Solve for x
    x = 225,451,803.03/17,365.50
  6. Step 6: Final answer
    x = 12,982.74

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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.