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Finding the Fourth Proportional to 12,814.29, 19,187.01 and 12,077.28

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Solution

The fourth proportional to 12,814.29, 19,187.01 and 12,077.28 is: 18,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.29 : 19,187.01 = 12,077.28 : x
  2. Step 2: Convert to fraction form
    12,814.29/19,187.01 = 12,077.28/x
  3. Step 3: Cross multiply
    12,814.29x = 19,187.01 × 12,077.28
  4. Step 4: Simplify right side
    12,814.29x = 231,726,892.13
  5. Step 5: Solve for x
    x = 231,726,892.13/12,814.29
  6. Step 6: Final answer
    x = 18,083.47

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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.