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Finding the Fourth Proportional to 12,509.40, 18,764.10 and 9,744.60

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Solution

The fourth proportional to 12,509.40, 18,764.10 and 9,744.60 is: 14,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.40 : 18,764.10 = 9,744.60 : x
  2. Step 2: Convert to fraction form
    12,509.40/18,764.10 = 9,744.60/x
  3. Step 3: Cross multiply
    12,509.40x = 18,764.10 × 9,744.60
  4. Step 4: Simplify right side
    12,509.40x = 182,848,648.86
  5. Step 5: Solve for x
    x = 182,848,648.86/12,509.40
  6. Step 6: Final answer
    x = 14,616.90

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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.