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Finding the Fourth Proportional to 23,558.64, 32,505.67 and 13,997.80

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Solution

The fourth proportional to 23,558.64, 32,505.67 and 13,997.80 is: 19,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,558.64 : 32,505.67 = 13,997.80 : x
  2. Step 2: Convert to fraction form
    23,558.64/32,505.67 = 13,997.80/x
  3. Step 3: Cross multiply
    23,558.64x = 32,505.67 × 13,997.80
  4. Step 4: Simplify right side
    23,558.64x = 455,007,867.53
  5. Step 5: Solve for x
    x = 455,007,867.53/23,558.64
  6. Step 6: Final answer
    x = 19,313.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.