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Finding the Fourth Proportional to 23,462.37, 32,378.85 and 12,852

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Solution

The fourth proportional to 23,462.37, 32,378.85 and 12,852 is: 17,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.37 : 32,378.85 = 12,852 : x
  2. Step 2: Convert to fraction form
    23,462.37/32,378.85 = 12,852/x
  3. Step 3: Cross multiply
    23,462.37x = 32,378.85 × 12,852
  4. Step 4: Simplify right side
    23,462.37x = 416,132,980.20
  5. Step 5: Solve for x
    x = 416,132,980.20/23,462.37
  6. Step 6: Final answer
    x = 17,736.19

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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.