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Finding the Fourth Proportional to 12,722.85, 19,078.34 and 7,459.47

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Solution

The fourth proportional to 12,722.85, 19,078.34 and 7,459.47 is: 11,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.85 : 19,078.34 = 7,459.47 : x
  2. Step 2: Convert to fraction form
    12,722.85/19,078.34 = 7,459.47/x
  3. Step 3: Cross multiply
    12,722.85x = 19,078.34 × 7,459.47
  4. Step 4: Simplify right side
    12,722.85x = 142,314,304.88
  5. Step 5: Solve for x
    x = 142,314,304.88/12,722.85
  6. Step 6: Final answer
    x = 11,185.73

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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.