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Finding the Fourth Proportional to 23,473.28, 32,394 and 13,401.80

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Solution

The fourth proportional to 23,473.28, 32,394 and 13,401.80 is: 18,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.28 : 32,394 = 13,401.80 : x
  2. Step 2: Convert to fraction form
    23,473.28/32,394 = 13,401.80/x
  3. Step 3: Cross multiply
    23,473.28x = 32,394 × 13,401.80
  4. Step 4: Simplify right side
    23,473.28x = 434,137,909.20
  5. Step 5: Solve for x
    x = 434,137,909.20/23,473.28
  6. Step 6: Final answer
    x = 18,494.98

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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.