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Finding the Fourth Proportional to 23,538, 32,485.32 and 13,602

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Solution

The fourth proportional to 23,538, 32,485.32 and 13,602 is: 18,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538 : 32,485.32 = 13,602 : x
  2. Step 2: Convert to fraction form
    23,538/32,485.32 = 13,602/x
  3. Step 3: Cross multiply
    23,538x = 32,485.32 × 13,602
  4. Step 4: Simplify right side
    23,538x = 441,865,322.64
  5. Step 5: Solve for x
    x = 441,865,322.64/23,538
  6. Step 6: Final answer
    x = 18,772.42

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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.