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Finding the Fourth Proportional to 23,462.55, 32,378.70 and 12,851.50

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Solution

The fourth proportional to 23,462.55, 32,378.70 and 12,851.50 is: 17,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.55 : 32,378.70 = 12,851.50 : x
  2. Step 2: Convert to fraction form
    23,462.55/32,378.70 = 12,851.50/x
  3. Step 3: Cross multiply
    23,462.55x = 32,378.70 × 12,851.50
  4. Step 4: Simplify right side
    23,462.55x = 416,114,863.05
  5. Step 5: Solve for x
    x = 416,114,863.05/23,462.55
  6. Step 6: Final answer
    x = 17,735.28

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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.