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Finding the Fourth Proportional to 23,847.84, 32,906.52 and 13,237.56

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Solution

The fourth proportional to 23,847.84, 32,906.52 and 13,237.56 is: 18,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.84 : 32,906.52 = 13,237.56 : x
  2. Step 2: Convert to fraction form
    23,847.84/32,906.52 = 13,237.56/x
  3. Step 3: Cross multiply
    23,847.84x = 32,906.52 × 13,237.56
  4. Step 4: Simplify right side
    23,847.84x = 435,602,032.89
  5. Step 5: Solve for x
    x = 435,602,032.89/23,847.84
  6. Step 6: Final answer
    x = 18,265.89

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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.