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Finding the Fourth Proportional to 23,539.92, 32,481.48 and 13,602

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Solution

The fourth proportional to 23,539.92, 32,481.48 and 13,602 is: 18,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.92 : 32,481.48 = 13,602 : x
  2. Step 2: Convert to fraction form
    23,539.92/32,481.48 = 13,602/x
  3. Step 3: Cross multiply
    23,539.92x = 32,481.48 × 13,602
  4. Step 4: Simplify right side
    23,539.92x = 441,813,090.96
  5. Step 5: Solve for x
    x = 441,813,090.96/23,539.92
  6. Step 6: Final answer
    x = 18,768.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.