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Finding the Fourth Proportional to 12,509.40, 18,765 and 11,878.80

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Solution

The fourth proportional to 12,509.40, 18,765 and 11,878.80 is: 17,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.40 : 18,765 = 11,878.80 : x
  2. Step 2: Convert to fraction form
    12,509.40/18,765 = 11,878.80/x
  3. Step 3: Cross multiply
    12,509.40x = 18,765 × 11,878.80
  4. Step 4: Simplify right side
    12,509.40x = 222,905,682
  5. Step 5: Solve for x
    x = 222,905,682/12,509.40
  6. Step 6: Final answer
    x = 17,819.05

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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.