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Finding the Fourth Proportional to 14,513.42, 21,772.83 and 5,159

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Solution

The fourth proportional to 14,513.42, 21,772.83 and 5,159 is: 7,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.42 : 21,772.83 = 5,159 : x
  2. Step 2: Convert to fraction form
    14,513.42/21,772.83 = 5,159/x
  3. Step 3: Cross multiply
    14,513.42x = 21,772.83 × 5,159
  4. Step 4: Simplify right side
    14,513.42x = 112,326,029.97
  5. Step 5: Solve for x
    x = 112,326,029.97/14,513.42
  6. Step 6: Final answer
    x = 7,739.46

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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.