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Finding the Fourth Proportional to 12,145.14, 16,762.08 and 11,394.66

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Solution

The fourth proportional to 12,145.14, 16,762.08 and 11,394.66 is: 15,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.14 : 16,762.08 = 11,394.66 : x
  2. Step 2: Convert to fraction form
    12,145.14/16,762.08 = 11,394.66/x
  3. Step 3: Cross multiply
    12,145.14x = 16,762.08 × 11,394.66
  4. Step 4: Simplify right side
    12,145.14x = 190,998,202.49
  5. Step 5: Solve for x
    x = 190,998,202.49/12,145.14
  6. Step 6: Final answer
    x = 15,726.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.