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Finding the Fourth Proportional to 15,906.60, 23,840.70 and 8,111.40

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Solution

The fourth proportional to 15,906.60, 23,840.70 and 8,111.40 is: 12,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.60 : 23,840.70 = 8,111.40 : x
  2. Step 2: Convert to fraction form
    15,906.60/23,840.70 = 8,111.40/x
  3. Step 3: Cross multiply
    15,906.60x = 23,840.70 × 8,111.40
  4. Step 4: Simplify right side
    15,906.60x = 193,381,453.98
  5. Step 5: Solve for x
    x = 193,381,453.98/15,906.60
  6. Step 6: Final answer
    x = 12,157.31

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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.