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Finding the Fourth Proportional to 12,814.60, 19,203.90 and 10,186.60

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Solution

The fourth proportional to 12,814.60, 19,203.90 and 10,186.60 is: 15,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.60 : 19,203.90 = 10,186.60 : x
  2. Step 2: Convert to fraction form
    12,814.60/19,203.90 = 10,186.60/x
  3. Step 3: Cross multiply
    12,814.60x = 19,203.90 × 10,186.60
  4. Step 4: Simplify right side
    12,814.60x = 195,622,447.74
  5. Step 5: Solve for x
    x = 195,622,447.74/12,814.60
  6. Step 6: Final answer
    x = 15,265.59

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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.