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Finding the Fourth Proportional to 14,112.53, 19,477.82 and 8,143.37

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Solution

The fourth proportional to 14,112.53, 19,477.82 and 8,143.37 is: 11,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.53 : 19,477.82 = 8,143.37 : x
  2. Step 2: Convert to fraction form
    14,112.53/19,477.82 = 8,143.37/x
  3. Step 3: Cross multiply
    14,112.53x = 19,477.82 × 8,143.37
  4. Step 4: Simplify right side
    14,112.53x = 158,615,018.02
  5. Step 5: Solve for x
    x = 158,615,018.02/14,112.53
  6. Step 6: Final answer
    x = 11,239.31

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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.