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Finding the Fourth Proportional to 12,878.09, 19,306.16 and 12,506.30

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Solution

The fourth proportional to 12,878.09, 19,306.16 and 12,506.30 is: 18,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.09 : 19,306.16 = 12,506.30 : x
  2. Step 2: Convert to fraction form
    12,878.09/19,306.16 = 12,506.30/x
  3. Step 3: Cross multiply
    12,878.09x = 19,306.16 × 12,506.30
  4. Step 4: Simplify right side
    12,878.09x = 241,448,469.75
  5. Step 5: Solve for x
    x = 241,448,469.75/12,878.09
  6. Step 6: Final answer
    x = 18,748.79

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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.