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Finding the Fourth Proportional to 13,801.77, 19,046.43 and 7,514.19

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Solution

The fourth proportional to 13,801.77, 19,046.43 and 7,514.19 is: 10,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.77 : 19,046.43 = 7,514.19 : x
  2. Step 2: Convert to fraction form
    13,801.77/19,046.43 = 7,514.19/x
  3. Step 3: Cross multiply
    13,801.77x = 19,046.43 × 7,514.19
  4. Step 4: Simplify right side
    13,801.77x = 143,118,493.84
  5. Step 5: Solve for x
    x = 143,118,493.84/13,801.77
  6. Step 6: Final answer
    x = 10,369.58

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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.