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Finding the Fourth Proportional to 13,494.98, 20,237.61 and 5,704.40

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Solution

The fourth proportional to 13,494.98, 20,237.61 and 5,704.40 is: 8,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.98 : 20,237.61 = 5,704.40 : x
  2. Step 2: Convert to fraction form
    13,494.98/20,237.61 = 5,704.40/x
  3. Step 3: Cross multiply
    13,494.98x = 20,237.61 × 5,704.40
  4. Step 4: Simplify right side
    13,494.98x = 115,443,473.08
  5. Step 5: Solve for x
    x = 115,443,473.08/13,494.98
  6. Step 6: Final answer
    x = 8,554.55

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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.