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Finding the Fourth Proportional to 23,796.58, 32,840.74 and 13,724.84

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Solution

The fourth proportional to 23,796.58, 32,840.74 and 13,724.84 is: 18,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.58 : 32,840.74 = 13,724.84 : x
  2. Step 2: Convert to fraction form
    23,796.58/32,840.74 = 13,724.84/x
  3. Step 3: Cross multiply
    23,796.58x = 32,840.74 × 13,724.84
  4. Step 4: Simplify right side
    23,796.58x = 450,733,901.98
  5. Step 5: Solve for x
    x = 450,733,901.98/23,796.58
  6. Step 6: Final answer
    x = 18,941.12

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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.