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Finding the Fourth Proportional to 12,394.97, 18,588.50 and 4,073.06

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Solution

The fourth proportional to 12,394.97, 18,588.50 and 4,073.06 is: 6,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.97 : 18,588.50 = 4,073.06 : x
  2. Step 2: Convert to fraction form
    12,394.97/18,588.50 = 4,073.06/x
  3. Step 3: Cross multiply
    12,394.97x = 18,588.50 × 4,073.06
  4. Step 4: Simplify right side
    12,394.97x = 75,711,962.50
  5. Step 5: Solve for x
    x = 75,711,962.50/12,394.97
  6. Step 6: Final answer
    x = 6,108.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.