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Finding the Fourth Proportional to 14,112.99, 19,477.53 and 8,146.26

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Solution

The fourth proportional to 14,112.99, 19,477.53 and 8,146.26 is: 11,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.99 : 19,477.53 = 8,146.26 : x
  2. Step 2: Convert to fraction form
    14,112.99/19,477.53 = 8,146.26/x
  3. Step 3: Cross multiply
    14,112.99x = 19,477.53 × 8,146.26
  4. Step 4: Simplify right side
    14,112.99x = 158,669,023.54
  5. Step 5: Solve for x
    x = 158,669,023.54/14,112.99
  6. Step 6: Final answer
    x = 11,242.76

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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.