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Finding the Fourth Proportional to 23,356.45, 32,231.90 and 14,409.15

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Solution

The fourth proportional to 23,356.45, 32,231.90 and 14,409.15 is: 19,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.45 : 32,231.90 = 14,409.15 : x
  2. Step 2: Convert to fraction form
    23,356.45/32,231.90 = 14,409.15/x
  3. Step 3: Cross multiply
    23,356.45x = 32,231.90 × 14,409.15
  4. Step 4: Simplify right side
    23,356.45x = 464,434,247.16
  5. Step 5: Solve for x
    x = 464,434,247.16/23,356.45
  6. Step 6: Final answer
    x = 19,884.62

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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.