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Finding the Fourth Proportional to 14,112.15, 19,477.31 and 8,142.99

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Solution

The fourth proportional to 14,112.15, 19,477.31 and 8,142.99 is: 11,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.15 : 19,477.31 = 8,142.99 : x
  2. Step 2: Convert to fraction form
    14,112.15/19,477.31 = 8,142.99/x
  3. Step 3: Cross multiply
    14,112.15x = 19,477.31 × 8,142.99
  4. Step 4: Simplify right side
    14,112.15x = 158,603,499.84
  5. Step 5: Solve for x
    x = 158,603,499.84/14,112.15
  6. Step 6: Final answer
    x = 11,238.79

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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.