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Finding the Fourth Proportional to 23,256.96, 34,886.24 and 9,219.64

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Solution

The fourth proportional to 23,256.96, 34,886.24 and 9,219.64 is: 13,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256.96 : 34,886.24 = 9,219.64 : x
  2. Step 2: Convert to fraction form
    23,256.96/34,886.24 = 9,219.64/x
  3. Step 3: Cross multiply
    23,256.96x = 34,886.24 × 9,219.64
  4. Step 4: Simplify right side
    23,256.96x = 321,638,573.75
  5. Step 5: Solve for x
    x = 321,638,573.75/23,256.96
  6. Step 6: Final answer
    x = 13,829.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.