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Finding the Fourth Proportional to 23,474.50, 32,394.81 and 13,538.50

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Solution

The fourth proportional to 23,474.50, 32,394.81 and 13,538.50 is: 18,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.50 : 32,394.81 = 13,538.50 : x
  2. Step 2: Convert to fraction form
    23,474.50/32,394.81 = 13,538.50/x
  3. Step 3: Cross multiply
    23,474.50x = 32,394.81 × 13,538.50
  4. Step 4: Simplify right side
    23,474.50x = 438,577,135.19
  5. Step 5: Solve for x
    x = 438,577,135.19/23,474.50
  6. Step 6: Final answer
    x = 18,683.13

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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.