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Finding the Fourth Proportional to 24,096, 33,253.23 and 13,485.61

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Solution

The fourth proportional to 24,096, 33,253.23 and 13,485.61 is: 18,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096 : 33,253.23 = 13,485.61 : x
  2. Step 2: Convert to fraction form
    24,096/33,253.23 = 13,485.61/x
  3. Step 3: Cross multiply
    24,096x = 33,253.23 × 13,485.61
  4. Step 4: Simplify right side
    24,096x = 448,440,091.02
  5. Step 5: Solve for x
    x = 448,440,091.02/24,096
  6. Step 6: Final answer
    x = 18,610.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.