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Finding the Fourth Proportional to 23,254.56, 32,078.16 and 13,826.16

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Solution

The fourth proportional to 23,254.56, 32,078.16 and 13,826.16 is: 19,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.56 : 32,078.16 = 13,826.16 : x
  2. Step 2: Convert to fraction form
    23,254.56/32,078.16 = 13,826.16/x
  3. Step 3: Cross multiply
    23,254.56x = 32,078.16 × 13,826.16
  4. Step 4: Simplify right side
    23,254.56x = 443,517,772.67
  5. Step 5: Solve for x
    x = 443,517,772.67/23,254.56
  6. Step 6: Final answer
    x = 19,072.29

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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.