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Finding the Fourth Proportional to 23,805.53, 35,713.30 and 9,014.12

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Solution

The fourth proportional to 23,805.53, 35,713.30 and 9,014.12 is: 13,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.53 : 35,713.30 = 9,014.12 : x
  2. Step 2: Convert to fraction form
    23,805.53/35,713.30 = 9,014.12/x
  3. Step 3: Cross multiply
    23,805.53x = 35,713.30 × 9,014.12
  4. Step 4: Simplify right side
    23,805.53x = 321,923,971.80
  5. Step 5: Solve for x
    x = 321,923,971.80/23,805.53
  6. Step 6: Final answer
    x = 13,523.08

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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.