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Finding the Fourth Proportional to 23,580.50, 32,524.44 and 20,019.20

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Solution

The fourth proportional to 23,580.50, 32,524.44 and 20,019.20 is: 27,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.50 : 32,524.44 = 20,019.20 : x
  2. Step 2: Convert to fraction form
    23,580.50/32,524.44 = 20,019.20/x
  3. Step 3: Cross multiply
    23,580.50x = 32,524.44 × 20,019.20
  4. Step 4: Simplify right side
    23,580.50x = 651,113,269.25
  5. Step 5: Solve for x
    x = 651,113,269.25/23,580.50
  6. Step 6: Final answer
    x = 27,612.36

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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.