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Finding the Fourth Proportional to 23,688.60, 35,532.90 and 13,822.80

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Solution

The fourth proportional to 23,688.60, 35,532.90 and 13,822.80 is: 20,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.60 : 35,532.90 = 13,822.80 : x
  2. Step 2: Convert to fraction form
    23,688.60/35,532.90 = 13,822.80/x
  3. Step 3: Cross multiply
    23,688.60x = 35,532.90 × 13,822.80
  4. Step 4: Simplify right side
    23,688.60x = 491,164,170.12
  5. Step 5: Solve for x
    x = 491,164,170.12/23,688.60
  6. Step 6: Final answer
    x = 20,734.20

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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.