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Finding the Fourth Proportional to 23,376.68, 32,256 and 13,815.24

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Solution

The fourth proportional to 23,376.68, 32,256 and 13,815.24 is: 19,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.68 : 32,256 = 13,815.24 : x
  2. Step 2: Convert to fraction form
    23,376.68/32,256 = 13,815.24/x
  3. Step 3: Cross multiply
    23,376.68x = 32,256 × 13,815.24
  4. Step 4: Simplify right side
    23,376.68x = 445,624,381.44
  5. Step 5: Solve for x
    x = 445,624,381.44/23,376.68
  6. Step 6: Final answer
    x = 19,062.77

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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.