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Finding the Fourth Proportional to 23,967.36, 35,927.82 and 9,164.88

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Solution

The fourth proportional to 23,967.36, 35,927.82 and 9,164.88 is: 13,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.36 : 35,927.82 = 9,164.88 : x
  2. Step 2: Convert to fraction form
    23,967.36/35,927.82 = 9,164.88/x
  3. Step 3: Cross multiply
    23,967.36x = 35,927.82 × 9,164.88
  4. Step 4: Simplify right side
    23,967.36x = 329,274,158.96
  5. Step 5: Solve for x
    x = 329,274,158.96/23,967.36
  6. Step 6: Final answer
    x = 13,738.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.