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Finding the Fourth Proportional to 23,546.50, 32,497.05 and 13,610.50

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Solution

The fourth proportional to 23,546.50, 32,497.05 and 13,610.50 is: 18,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.50 : 32,497.05 = 13,610.50 : x
  2. Step 2: Convert to fraction form
    23,546.50/32,497.05 = 13,610.50/x
  3. Step 3: Cross multiply
    23,546.50x = 32,497.05 × 13,610.50
  4. Step 4: Simplify right side
    23,546.50x = 442,301,099.03
  5. Step 5: Solve for x
    x = 442,301,099.03/23,546.50
  6. Step 6: Final answer
    x = 18,784.15

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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.