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Finding the Fourth Proportional to 23,216.66, 32,039.64 and 13,657.24

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Solution

The fourth proportional to 23,216.66, 32,039.64 and 13,657.24 is: 18,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.66 : 32,039.64 = 13,657.24 : x
  2. Step 2: Convert to fraction form
    23,216.66/32,039.64 = 13,657.24/x
  3. Step 3: Cross multiply
    23,216.66x = 32,039.64 × 13,657.24
  4. Step 4: Simplify right side
    23,216.66x = 437,573,052.99
  5. Step 5: Solve for x
    x = 437,573,052.99/23,216.66
  6. Step 6: Final answer
    x = 18,847.37

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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.